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

 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)

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation:

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.