Question

PLEASE HELP IF YOU’RE GOOD WITH PROBABILITY IN MATH 30!!!!

Answer 1

Answer:  24) d    25) d    26) d    27) a

Step-by-step explanation:

24)

a) a card can be red and a diamond --> Not mutually exclusive

b) a sum of 8 can include an even number (e.g. 2 + 6) --> Not mutually exclusive

c) a black card can be a Queen --> Not mutually exclusive

d) a 3 CANNOT be an even number --> Mutually exclusive!

25)

In order for event A and event B to be mutually exclusive, they cannot intersect --> P(A ∩ B) = 0

26)

P(B) = 0.34

P(A ∪ B) = 0.62

p(A ∩ B) = 0       because they are mutually exclusive

--> P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

          0.62 = P(A) + 0.34 - 0

          0.28 = P(A)

--> P(A)' = P(not A)

             = 1 - P(A)

             = 1 - 0.28

              = 0.72

27)

hockey game = P(A) = 0.4

dance = P(B) = 0.5

hockey or dance = P(A ∪ B) = 0.8

--> hockey and dance = P(A ∩ B)

    P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

          0.8 = 0.4 + 0.5 - P(A ∩ B)

        - 0.1 = -P(A ∩ B)

          0.1 = P(A ∩ B)