The probability of winning exactly 21 times is 0.14

What is Binomial Probability?

Binomial probability refers to the probability of exactly ‘x’ successes on ‘n’ repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Probability ‘P’ = ⁿCₓ (probability of 1st)ˣ x (1 – probability of 1st)ⁿ⁻ˣ

For example:

What is the probability of getting 6 heads, when you toss a coin 10 times?

In a coin-toss experiment, there are two outcomes: heads and tails. Assuming the coin is fair , the probability of getting a head is 1/2 or 0.5 .

The number of repeated trials: n=10

The number of success trials: x = 6

The probability of success on individual trial: p = 0.5

Use the formula for binomial probability.

¹⁰C₆ (0.5)⁶ x (1 – 0.5)¹⁰⁻⁶

Simplify.

≈0.205

Here, we have given that:

Probability of winning on an arcade game is 0.659

so, Probability of loosing on an arcade game is 1-0.659 = 0.341

Number of times game played = 30

Probability of winning exactly 21 times = ?

now, n = 30

x = 21

probability of 1st or probability of winning = 0.659

1 – probability of 1st or probability of loosing = 0.341

using, binomial probability formula

Probability of winning exactly 21 times = ³⁰C₂₁ (0.659)²¹ x (0.341)⁷

on solving,

Probability of winning exactly 21 times = 0.14

Hence,

The probability of winning exactly 21 times is 0.14

probabilityof winning exactly 21 times is 0.14 when theprobabilityof winning the arcade game is 0.659.binomial probabilityis given by:Probability(P) = ⁿCₓ (probability of 1st)ˣ x (1 – probability of 1st)ⁿ⁻ˣProbabilityof winning on an arcade game = P(A) = 0.659Probabilityof loosing on an arcade game will be = P'(A) = 1 – 0.659 = 0.341Probabilityof winning exactly 21 times.binomial probabilityformula, we get that:Probabilityof winning exactly 21 times :probabilityof winning exactly 21 times is 0.14” Binomial Probability “here: brainly.com/question/12474772probabilityof winning exactly 21 times is 0.14## What is Binomial Probability?

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