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saul85 [17]
2 years ago
12

The probability of winning on an arcade game is 0.568. If you play the arcade game 22 times, what is the probability of winning

more than 15 times
Mathematics
1 answer:
Serggg [28]2 years ago
8 0

The probability of winning 15 out of the 22 games is P = 0.099

<h3>what is the probability of winning more than 15 times?</h3>

We know that the probability of winning on the arcade game is 0.568.

Then the probability of losing is:

P = 1 - 0.568 = 0.432

The probability of winning 15 out of 22 games is given by the equation:

P = C(22, 15)*(0.568)^{15}*(0.432)^{7}

Where C(22, 15) is the number of combinations of 15 elements that we can make with a set of 22 elements, given by:

C(22, 15) = \frac{22!}{(22 - 15)!*15!}  = \frac{22!}{7!*15!} = \frac{22*21*20*19*18*17*16}{7*6*5*4*3*2*1} = 170,544

Then the probability is:

P = 170,544*(0.568)^{15}*(0.432)^7 = 0.099

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

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