Question

Janet makes 67% of free throws in her basketball games. Her coach wants to know the probability that she will make 7 out of the next 8 free throws.

Which simulation design has an appropriate device and a correct trial?

A) Roll a die letting 1-5 represent Janet making a free throw and 6
represent Janet not falling. Roll the die seven times.

B) Roll a die letting 1-5 represent Janet making a free throw and 6 represent Janet not falling. Roll the die eight times.

C) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die seven times.

D) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die eight times.

Answer 1

Answer: D

Explanation:

Answer 2

The probability that Janet makes a free throw is given by:
P(f)=0.67
The simulation that will be used to design the possibility of her making 7 out of 8 free throws will be:

D) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die eight times.
This is is because the probability of obtaining 1,2,3 or 4 from rolling a dice is
4/6=0.67