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A basketball player's probability of making a free throw is 0.9. When the player makes two free throws in a row, X is the number of free throws made.

What is P(X = 2)?



Enter your answer, as a decimal, in the box.

P(X = 2) =

A basketball players probability of making a free throw is 09 When the player makes two free throws in a row X is the number of free throws made What is PX 2 En class=

Respuesta :

Answer:

0.81

Step-by-step explanation:

P(success) = 0.9

P(failure) = 1 - 0.9 = 0.1

Binomial probability:

P(X=n) = nCr (0.9)^n (0.1)^r

Here, n=2 and r=0:

P(X=2) = ₂C₀ (0.9)² (0.1)⁰

P(X=2) = 0.81

X is the number of free throws made  P(X = 2) is  0.81

What is probability?

Probability is a branch of mathematics that deals with the occurrence of a random event.

calculation:-

⇒P( sucess event ) = 0.9

⇒P(failure event) = 1 - 0.9 = 0.1

Binomial probability:

    P(X=n) = nCr (0.9)ⁿ (0.1)ˣ

      let, n=2 and r=0:

          P(X=2) = ₂C₀ (0.9)² (0.1)⁰

                P(X=2) = 0.81

Learn more about probability here:-https://brainly.com/question/1328358

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