6th Grade Math Textbook, Progress

Use the spinner to find the probability of each event.

Are the events in ex. 3, 4, and 8 mutually exclusive?

If not, tell why.

1. P(1) 2. P(not 2) 3. P(4 or 6) 4. P(4 or odd)


2. P(
   7) 6. P(6) 7. P(odd) 8. P(even or 2)

Find the probability of each event, E.

Then find the probability

of its complement.

A number is selected from 1 through 10.

9. P(prime) 10. P(multiple of 5) 11. P(divisible by 3) 12. P(factor of 10)

32

24

53

1 6

Find the experimental probability of each event.

Then compare it with the theoretical probability.

Experiment:

Roll a 1–6 number cube.

13. Exp P(1) 14. Exp P(3) 15. Exp P(4) 16. Exp P(3 or 6)

A trial is each time you

do the experiment.

Think

53  47 100 trials

Outcome 123456

No. of Times 8 11 10 11 8 12

Experimental Probability

When you find the probability of an event by doing an experiment,

you are finding experimental probability. The greater the number of

trials you do in an experiment, the closer the experimental probability

gets to the theoretical probability.

Experimental probability can be defined by the formula:

Exp P(E) 

Experiment:A coin is tossed repeatedly. The results

are recorded as 53 heads, 47 tails.

Find Exp P(H) and Exp P(T). Then compare the values

with the theoretical probabilities of P(H) and P(T).

Exp P(H) 0.53 Exp P(T) 0.47

P(H) 0.5 P(T) 0.5

0.53 0.5 0.47 
0.5

1

2

1

2

47

100

53

100

number of times favorable outcomes occur

number of trials in the experiment

Think

P(E) is the complement of P(not E).

P(not E) is the complement of P(E).

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