Question

Mateo plays on his school basketball team. From past history, he knows that his probability of making a basket on a free throw is 0.8. Suppose he wants to create a simulation using random numbers to estimate the probability of making at least 3 baskets on his next 5 free throw attempts. Which of the following assignments of the digits 0 to 9 could be used for the simulation?

Answer 1

Answer:

The correct simulation should be: Let the digit from 0 to 7 represent making a basket and the digits 8 and 9 represent not making a basket.

Step-by-step explanation:

Consider the provided information.

It is given that the probability of making a basket on a free throw is 0.8.

It means Mateo basket 8 times out of 10 times.

Thus, the simulation process will also maintain this probability.

He use a simulation in which number 0 to 7 represents making a basket and the number 8 and 9 represents making no basket.

Because there are 8 number from 0 to 7.

Hence, the correct simulation should be: Let the digit from 0 to 7 represent making a basket and the digits 8 and 9 represent not making a basket.

Answer 2

The correct assignment of digits for the simulation would be representing 0 - 7 as making a basket and the digits 8 and 9 as not making a basket.

The probability of making a basket = 0.8

Hence, Probability of not making a basket = 1 - 0.8 = 0.2

• The digits 0 - 9 represents the total possibility (making and not making)

• Since, the odds or likelihood of making a basket is 8/10 ; that is 8 times out of 10.

• Likelihood of missing is 2 times out of 10 (8, 9)

Therefore, 8 of the digits (0, 1, 2, 3, 4, 5, 6, 7) could be used as making a basket in the simulation. and (8, 9) as not making a basket.

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