High School

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?

Answer :

The probability of winning 15 out of the 22 games is [tex]P = 0.099[/tex]

what is the probability of winning more than 15 times?

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:

[tex]P = C(22, 15)*(0.568)^{15}*(0.432)^{7}[/tex]

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

[tex]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[/tex]

Then the probability is:

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

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

Answer:

0.096

Step-by-step explanation:

p=(X>15) = 1 - binomcdf( 22, 0.568, 15) 0.096