10. 2. Getting a red
card and a
black card in a
standard deck
of cards
11. 3.A card is drawn from a deck of standard playing cards.
Event A: An ace is drawn.
Event B: A king is drawn.
12.
13. 2. A rectangular box contains balls numbered {1, 2,
3, … , 18, 19, 20}. If a ball is randomly drawn from
a box,
a. what is the probability that it is 3 or 15?
•Solution:
1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,…20
P( A or B) = P( A ) + P( B)
P( 3 or 15 ) = P( 3 ) + P( 15)
= 1/20+ 1/20
P(3 or 15) = 2/20 or 1/10
15. Example:
From a deck of
52 cards, what is the
probability that the
card is a face card or
a black card?
16.
17.
18. •A rectangular box contains balls numbered {1, 2,
3, … , 18, 19, 20}. If a ball is randomly drawn
from a box, what is the probability that it is a
number divisible by 4 or a number divisible by 5?
Solution:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
No. divisible by 4 – ( 4,8,12,16,20)
No.divisible by 5 –( 5,10,15,20)
P ( A or B) = P( A) + P ( B ) – P ( A and B)
P(no. div.by 4 or no. div. by 5 ) = 5/20 + 4/20 – 1/20
= 8/20
P( no.div.by 4 or no.div.by 5 ) =2/5
19.
20.
21.
22.
23.
24. Determine whether each of the following event is
mutually exclusive or not mutually exclusive
events. Then find its probability.
1. Getting a 6 or a number divisible by 3 when rolling a
die
2 Getting 3 tails or 1 head when four coins are
dropped onto the floor.
3. Selecting a blue or a red when picking a ball from a
box that contains 10 blue balls and 15 red balls
4. Selecting a letter A from the word PROBABILITY or
a vowel
5. Getting a head or a tail when tossing a coin