Slide 1: Introduction
Slide 2: Definition of Probability
Probability of an event is a value that tell us how likely that event is to happen.
Slide 3: 63. Method of finding probability of any event
Probability of any event is equal to fraction with numerator as the number of outcomes that satisfy your requirements and denominator as the total number of possible outcomes.
Slide 4-6: Probability Line
A probability of 0 means that an event cannot happen,
its impossible and probability of 1 means that an event is definitely going to happen, its certain that’s why probability line only goes from 0 to 1, and an event can’t be less likely than impossible and it can’t be more likely than certain.
Slide 7: Definition of Trial or Experiment
It is a process that has a random outcome.
Slide 8-9: Example 1
If we has a coin, what is the probability of flipping heads and tails ?
Probability of flipping heads is one-half or 0.5 or 50% and probability of flipping heads is one-half or 0.5 or 50%.
Slide 10-12: Example 2
If we has a dice with six standard sides, what is the probability of rolling any side?
Probability of rolling any side of dice is one-sixth or 16.7%.
Slide 13-15: Difference between coin toss and rolling dice.
Slide 16-18: Example 3
If we has a spinner with just ten equally sized sectors, what is the probability of spinning a 8?
Probability of spinning a 8 is one-tenth or 10%.
Slide 19-22: Example 4
Suppose we have a bag of marbles, there are 3 green marbles, 7 yellow marbles and 1 blue marble. If we mix them up and pull out a marble at random. What’s the probability of it being green?
The top number of our probability fraction will be 3, because there are 3 green marbles. So there’s 3 outcomes that get us, what we want and the bottom number will be 11, because there’s a total of 11 possible marbles that could pull out. So the probability of pulling out a green marble is 3/11.
Slide 23: Thank you
4. Probability Line
1
2
1
0
Impossible Certain
A probability of 0 means that an event cannot happen,
its impossible and probability of 1 means that an event is
definitely going to happen, its certain that’s why probability
line only goes from 0 to 1, and an event can’t be less likely
than impossible and it can’t be more likely than certain.
5. Probability Line
1
2
1
0
as likely
as not
unlikely likely
A probability less than one-half means that an
event is unlikely and a probability greater than
one-half means that an event is likely.
6. Probability Line
1
2
1
0
0.0 1.0
0.5
or 0%
or 50%
or 100%
A probability of 0 is the same as a 0% chance of something
happening.
A probability of one-half is the same as a 50% chance of
something happening.
And a probability of 1 is the same as probability of 100% is
the same.
10. If we has a dice with six standard sides,
what is the probability of rolling any
side?
11. just as likely
A dice have 6 possibilities
A standard dice has 6 sides, numbered 1 to 6, when you roll
it, any of those sides, it is just as likely to come up as the
others.
12. only One side can face upwards
Divide by 6
1
6
1
6
1
6
1
6
1
6
1
6
It’s certain that one of six sides will land facing upwards
which is a probability of 1 or 100%.
But since only one side can face upwards for a given roll,
have need to divide the probability up by evenly between 6
possibilities.
19. Suppose we have a bag of marbles, there are
3 green marbles, 7 yellow marbles and 1 blue
marble. If we mix them up and pull out a
marble at random. What’s the probability of
it being green?
21. Probabilty of
green marble
3
11
The top number of our probability fraction will be
3, because there are 3 green marbles. So there’s 3
outcomes that get us, what we want and the
bottom number will be 11, because there’s a total
of 11 possible marbles that could pull out. So the
probability of pulling out a green marble is 3/11.
