Question

Consider a one-player game with zero cost (i.e., the player pays nothing to play the

game). The player can win $1.00, $5.00, $10.00, or nothing at all. The probability of winnin
g $1.00 is 40%, $5.00 is 20%, and $10.00 is 5%.
What is the probability of winning nothing at all?
A. 30%
B. 35%
OC. 40%
D.25%​

Answer 1

B. 35%

Explanation:

P(winning $1.00)=40%

P(winning $5.00)=20%

P(winning $10.00)=5%

In a probability distribution, the sum of the probability must always be equal to 1.

Therefore:

P(winning $0.00)=1-(40%+20%+5%)

=1-(0.4+0.2+0.05)

=1-0.65

=0.35

The probability of winning nothing at all is 35%.