If the theoretical probability of rolling a “4” on a die is 1/6, predict how many times the outcome will be “4” if you roll the die 42 times. Roll the die 42 times. Did the number of times you rolled a “4” agree with the theoretical probability? Explain why this happened.
Answers
Answer:
about 7 times
Given : theoretical probability of rolling a “4” on a die is 1/6,
To find : predict how many times the outcome will be “4” if you roll the die 42 times
Solution:
the theoretical probability of rolling a “4” on a die is 1/6
if Dice is rolled 42 times
Then Expected number of times 4 is rolled = (1/6) 42
= 7 times
Number of times rolled Does not always agree with theoretical probability
as it is the best estimate only , not actual
Estimation will be closer as number of trials will increase
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