Page 433 - Math Smart - 7

The more times this experiment is conducted, the more accurate the estimated
probability of rolling each number will be. If the experimental probabilities of
every group are far from what you would expect, then you can say that the
die may be biased.
J

A spinner is divided into 5 equal sectors. Theo spun the spinner 50 times
and recorded the outcomes in the frequency table below.

Colour Frequency a) Calculate the theoretical probability of the
spinner landing on each colour sector.
Red 6
b) Calculate the experimental probability of the
Green 15 spinner landing on each colour sector.
Blue 8 c) Based on the experimental probabilities that you
have calculated, which colour sector is the spinner
Yellow 11
i) most likely to land on?
Pink 10 ii) least likely to land on?

Sue took part in a bowling game. There were 10 bowling pins to knock over in each round. She
recorded the number of pins she knocked over with each bowl. She bowled 50 times.

a) Calculate the theoretical probability of knocking over each
Number of pins
Frequency number of pins if all pins are equally likely to be knocked
knocked over
over.
0 '
1
b) Calculate the experimental probability of each number of
2 2 pins knocked over by Sue.
Based on the experimental probabilities that you have
3 5
calculated, which number of pins did Sue
4 7
i) most likely knock over?
5 2 ii) least likely knock over?

6 4 d) Sue is good at 10-pin bowling. Why would you not expect
the theoretical probability to match the experimental
7 8
probability?
8 6

9 11
10 5

*Cha!len9G!
A spinner is divided into 8 equal sectors. It is spun 120 times.
The arrow lands on the purple sectors 30 times. How many times
should the arrow have landed on the purple sectors for the
experimental probability to equal the theoretical probability?

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