1. What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the
week?
"Choosing a day that falls on the weekend" is our event, and the number of outcomes is the total
number of days in a week, seven.
Example 2: A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn from
the jar at random, what is the probability that this marble is red?
"Choosing a red marble" is our event, and the number of outcomes is the total number of marbles in
the jar, 20.
f events is two (since two days out of the week are weekends), and the number of outcomes is seven.
The probability is 2 ÷ 7 = 2/7 or .285 or 28.5%.
Example 2: A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn from
the jar at random, what is the probability that this marble is red?
The number of events is five (since there are five total marbles), and the number of outcomes is 20.
The probability is 5 ÷ 20 = 1/4 or .25 or 25%
:What is the probability of rolling two consecutive fives on a six-sided die? The probability of both
independent events is 1/6.
This gives us 1/6 x 1/6 = 1/36 or .027 or 2.7%.
Example 2: Two cards are drawn randomly from a deck of cards. What is the likelihood that both cards
are clubs?
2. The probability of the first event happening is 13/52. The probability of the second event happening is
12/51. The probability is 13/52 x 12/51 = 12/204 or 1/17 or 5.8%.
Example 3: A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If three marbles are
drawn from the jar at random, what is the probability that the first marble is red, the second marble is
blue, and the third is white?
The probability of the first event is 5/20. The probability of the second event is 4/19. And the
probability of the third event is 11/18. The probability is 5/20 x 4/19 x 11/18 = 44/1368 or 3.2%.
the chances of rolling a "4" with a die
Number of ways it can happen: 1 (there is only 1 face with a "4" on it)
Total number of outcomes: 6 (there are 6 faces altogether)
So the probability = 1
6
there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble gets
picked?
Number of ways it can happen: 4 (there are 4 blues)
Total number of outcomes: 5 (there are 5 marbles in total)
So the probability = 4 = 0.8
5
3. 1. A die is thrown once. What is the probability that the score is a factor of 6?
[image]
The factors of six are 1, 2, 3 and 6, so the Number of ways it can happen = 4
There are six possible scores when a die is thrown, so the Total number of outcomes = 6
So the probability that the score is a factor of six = 4/6 = 2/3
2.
The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a
toothpick pushed through its center. The five triangles are numbered from 1 to 5.
The spinner is spun until it lands on one of the five edges of the pentagon. What is the probability that
the number it lands on is odd?
[image]
There are three odd numbers (1, 3 and 5), so the Number of ways it can happen = 3.
There are five numbers altogether, so the Total number of outcomes = 5.
4. So the probability the number is odd = 3/5
3.Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then
folded, put in a hat, and mixed thoroughly.
One piece of paper is chosen (without looking) from the hat. What is the probability it is an I?
[image]
There are 4 I's in the word MISSISSIPPI, so the Number of ways it can happen = 4
There are 11 letters altogether in the word MISSISSIPPI, so the Total number of outcomes = 11
So the probability the letter chosen is an I = 4/11
4.
A card is chosen at random from a deck of 52 playing cards.
There are 4 Queens and 4 Kings in a deck of playing cards.
What is the probability it is a Queen or a King?
There are 4 Queens and 4 Kings, so the Number of ways it can happen = 8
There are 52 cards altogether, so the Total number of outcomes = 52
5. 5. A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?
(A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.)
Represent 'Heads up' by H and 'Tails up' by T.
There are 8 possible ways the coins can land: (H, H, H), (H, H, T), (H, T, H), (H, T, T),
(T, H, H), (T, H, T), (T, T, H) and (T, T, T)
Of these, 3 have one Head and two Tails: (H, T, T), (T, H, T) and (T, T, H)
So:
The Number of ways it can happen = 3
The Total number of outcomes = 8
6. A committee of three is chosen from five councilors - Adams, Burke, Cobb, Dilby and Evans.
What is the probability Burke is on the committee?
Abbreviate the names of the five councilors with the letters A, B, C, D and E.
There are 10 possible committees: (A, B, C), (A, B, D), (A, B, E), (A, C, D), (A, C, E), (A, D, E), (B, C, D), (B, C,
E), (B, D, E) and (C, D, E)
Of these, Burke is included in 6: (A, B, C), (A, B, D), (A, B, E), (B, C, D), (B, C, E) and (B, D, E)
So:
The Number of ways it can happen = 6
The Total number of outcomes = 10
6. 7.
The die has 8 equal faces marked with the numbers 1 to 8.
If the die is thrown once, what is the probability that the face that lands uppermost has a prime
number?
The numbers 2, 3, 5 and 7 are prime, so:
The Number of ways it can happen = 4
The Total number of outcomes = 8
.
7. Drew dropped the thumbtack 100 times and found that it landed point up 38 times.
Drew concluded that the probability the thumbtack lands points up is about:
The thumbtack landed point up 38 times out of 100.
Therefore, the relative frequency of landing point up is 38/100 = 0.38
0.38 is nearest to 0.4, so this is the best estimate for the probability the thumbtack lands point up.
9. There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green.
The contents of the bag are shaken before Maxine randomly chooses one counter from the bag.
What is the probability that she doesn't pick a red counter?
There are 7 counters that are not red: 2 blue and 5 green
The Number of ways it can happen = 7
The Total number of outcomes = 10
10. A special die is made in the shape of an icosahedron, and its faces are numbered with the numbers 1
to 20.
8. When the die is thrown there is an equal chance of any face landing uppermost.
If the die is thrown once, what is the probability that the face that lands uppermost has a number that is
a factor of 20?
The factors of 20 are 1, 2, 4, 5, 10 and 20, so:
The Number of ways it can happen = 6
The Total number of outcomes = 20
Figure 1
9.
10.
11. 11 April 2014
All Of Me - John Legend - chords and lyrics
This song appeared twice in the same week on my feed, so I thought I'd add it to this Songbook. Nice
easy chords you can play, with or without a Capo - though a Capo sounds better. It's a longer playing
song than most, but enjoy...
All Of Me by John Legend
Capo on 1
Em - C - G - D
Em C G
What would I do without your smart mouth
D Em
Drawing me in and you kicking me out
C G
Got my head spinning - no kidding
D Em
I can't pin you down
C G
What's going on in that beautiful mind
D Em
I'm on your magical mystery ride
C G
12. And I'm so dizzy - don't know what hit me
D Am
But I'll be alright
Am G
My head's under water
D Am
But I'm breathing fine
Am G D
You're crazy and I'm out of my mind
G
'Coz all of me
Em
Loves all of you
C
Love your curves and all your edges
D
All your perfect imperfections
G
Give your all to me
Em
I'll give my all to you
C
You're my end and my beginning
D
Even when I lose I'm winning
13. Em C G D
'Coz I give you a----ll of me
Em C G D
And you give me a----ll of you oh
Em C G
How many times do I have to tell you
D Em
Even when you're crying - you're beautiful too
C G
The world is beating you down
D Em
I'm around through every mood
C G
You're my downfall - you're my muse
D Em
My worst distraction - my rhythm and blues
C
I can't stop singing
G D Am
It's ringing in my head for you
Am G
My head's under water
D Am
But I'm breathing fine
Am G D
14. You're crazy and I'm out of my mind
G
'Coz all of me
Em
Loves all of you
C
Love your curves and all your edges
D
All your perfect imperfections
G
Give your all to me
Em
I'll give my all to you
C
You're my end and my beginning
D
Even when I lose I'm winning
Em C G D
'Coz I give you a----ll of me
Em C G D
And you give me a----ll of you oh
Am
Give me all of you
Am G D Am
Cards on the table - we're both showing hearts
15. G D
Risking it all, though it's hard
Am G
My head's under water
D Am
But I'm breathing fine
Am G D
You're crazy and I'm out of my mind
G
'Coz all of me
Em
Loves all of you
C
Love your curves and all your edges
D
All your perfect imperfections
G
Give your all to me
Em
I'll give my all to you
C
You're my end and my beginning
D
Even when I lose I'm winning
Em C G D
16. 'Coz I give you a----ll of me
Em C G D
And you give me a----ll of you oh
Em C G D
I give you a----ll of me
Em C G D
And you give me a----ll of you oh
F C
Well you only need the light when it s burning low
G Am
Only miss the sun when it starts to snow
F C G
Only know you - r love her when you let her go
F C
Only know you ve been high when you re feeling low
G Am
Only hate the road when you re missin home
F C
Only know your love her when you ve let her go
G
And you let her go
17. Am F G Em
Am F G
Am F
Staring at the bottom of your glass.
G Em
Hoping one day you will make a dream last
Am F G
The dreams com - e slow and goes s - o fast
Am F
You see her when you close your eyes
G Em
Maybe one day you will understand why
Am F G
Everything you touch all it dies
Chorus
Am F
Staring at the ceiling in the dark
G Em
Same old empty feeling in your heart
Am F G
Love comes slow and it goes s - o fast
Am F
18. Well you see her when you fall a - sleep
G Em
But to never to touch and never to keep
Am
Because you loved her to much
F G
And you dive too deep
Chorus
Am
And you let her go
F G
Ooooo ooooo oooooo
Am
And you let her go
F G
Ooooooo ooooo ooooo
Am F G Em
And you let her go
Am F G
Chorus
F C
Well you only need the light when it s burning low
G Am
19. Only miss the sun when it s starts to snow
F C G
Only know your love her when you let her go
F C
Only know you ve been high when you re feeling low
G Am
Only hate the road when you re missin home
F C
Only know your love her when you ve let h - er go
G Am
And you let her go