A probability model includes P(1)= 3/10 and P(2)= 1/5. Which of the following probabilities could complete this model?
A. P(3)=2/5
B. P(3)=1/2
C. P(3)=3/5
D. P(3)=11/15

Respuesta :

Answer:

P(3)=1/2

Step-by-step explanation:

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P(3) = [tex]\frac{1}{2}[/tex] completes the probability model.

What is Probability distribution?

" Probability distribution is the statistical term which explains the possible outcome of any given random event."

Let A , B, and C are three possible outcome of any experiment.

Formula used

P(A) + P(B) + P (C) = P(1)

According to the question,

P(1) = 3/10

P(2) = 1/5

P(3) = ?

Substitute the value in the formula we get,

P(1) + P(2) + P(3) = 1

⇒P(3) = 1 - [P(1) + P(2)]

⇒P(3) = 1- [(3/10) + (1/5)]

P(3) = 1/2

Hence we conclude that  Option B is correct.

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