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please help!!!

Events A and B are mutually exclusive. Find the missing probability.
11
17
6) P(B) = P(A or B) =
P(A) = ?
20
20
17
A) 1/15
B)
C)
E) None of these
5/6 0/-
D)
2014

please help Events A and B are mutually exclusive Find the missing probability 11 17 6 PB PA or B PA 20 20 17 A 115 B C E None of these 56 0 D 2014 class=

Respuesta :

ashishdwivedilVT

The missing probability for the given mutually exclusive event is 3/10

What is Mutually Exclusive Event?

Mutually exclusive events are those events that do not occur at the same time.

Here, Let P(A) be x,

         P(B) = 11/20,     P(A or B) = 17/20,    P(A and B) = 0

         By Addition theorem of Probability,

         P(A or B) = P(A) + P(B) - P(A and B)

          17/20 = x + 11/20 - 0

          x = [tex]\frac{17}{20} - \frac{11}{20}[/tex]

          x = 6/20

          x = 3/10

Thus, The missing probability for the given mutually exclusive event is 3/10

Learn more about Probability from:

https://brainly.com/question/11234923

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Answer:

C) 3/10

Step-by-step explanation:

Applying the Addition Theorem of Probability :

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Here :

  • P(A ∪ B) = 17/20
  • P(B) = 11/20
  • P(A ∩ B) = 0 (as they are mutually exclusive)

Solving :

  • 17/20 = 11/20 + 0 + P(A)
  • P(A) = 17/20 - 11/20
  • P(A) = 6/20 = 3/10

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