AnswersPISD-Statistics B 4th GPThe Multiplication Rule for Independent EventsQuestion 3
3
AssignmentMultiple Choice

The Multiplication Rule for Independent Events

Question 3 • PISD-Statistics B 4th GP

Nick decides to play "Spin to Win” at a fundraiser event. He has a 25% chance of winning on any individual spin. Individual spins are independent. Nick decides to play the game 3 times.What is the probability that he wins the first 2 spins and then loses on the 3rd spin?

Answer
A
0.015625
B
0.046875
C
0.140625
D
0.421875

Explanation

Because the spins are independent, multiply the probability of each outcome: 0.25 × 0.25 × 0.75 = 0.046875. The probability of losing the third spin is 0.75, so the correct choice is 0.046875.

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