MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

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=0.67Β

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=0.67Β