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

1. PROBABILITY

2. PROBABILITY
Probability of an
event is a value
that tell us how
likely that event
is to happen

3. Probabilty of
any event
# of outcomes
that satisfy requirements
Total #
of possible outcomes

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.

7. TRIAL
It is a process that
has a random outcome

8. If we has a coin, what is the probability
of flipping heads and tails ?

9. Probability of
flipping heads
Probability of
flipping tails
1
2
1
2
about half flips will be
heads
about half flips will be
tails
0.5or 50% 0.5or 50%

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.

13. Difference
between coin
toss and
rolling dice

14. Divide by 6
1
6
1
6
1
6
1
6
1
6
1
6
Divide by 2
1
2
1
2
dice have 6
possibilities
coin have 2
possibilities
50% 50%
16.7% 16.7% 16.7% 16.7% 16.7%
16.7%

15. 1
2
1
2
2
2
1 or 100%
6
6
1 or 100%
1
6
1
6
1
6
1
6
1
6
1
6

16. If we has a spinner with just ten
equally sized sectors, what is the
probability of spinning a 8?

17. 10 equally sized
sectors
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1 or 100%
We had to split up the 1 or 100% between all ten possibilities.
??

18. Probability of spinning a 8 is
1
10
Or about 10%
??

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?

20. Random
Marble
Possibility of
green marble ??
after
mixing

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.

22. 0.27
after mixing
3
11
27%
Probability of
green marble
or
or
3
11

23. Thanks!
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