Question

40% of OatyPop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability that Hannah only has to buy 3 or less boxes before getting a prize? We need to design a simulation. Which random device ca we use to BEST represent this situation?

Answer 1

Answer: Use a random number generator ranging from 1 to 10 and assign 1 through 4 as the prize and 5 through 10 as no prize.

Explanation:

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Answer 2

She has a 88.4% chance to win.

To determine if she will win, you can use a spinner or a random number generator. Make 40% success and 60% unsuccessful.

Explanation:

In order to determine whether she will win in 3 boxes or less, note that there is a 60% chance she will lose each time. To find the chance of her losing 3 times in a row, multiply 60% by itself 3 times.

60% * 60% * 60% = 21.6%

Now to find the amount of chance that she wins before this, subtract this number form 100%

100% - 21.6% = 88.4%