18. Event A ocurs with probability 0.1. Event B occurs with probability 0.6. If

Question

18. Event A ocurs with probability 0.1. Event B occurs with probability 0.6. If A and B are independent, then a. P(A and B) 0.70. b. P(A or B) 0.64. C. P(A and B) = 0.64 d. P(A or B) 0.70. 19. A stack of four cards contains two red cards and two black cards. I select two cards, one at a time, and do not replace the first card selected before selecting the second card. Consider the events A the first card selected is red. B- the second card selected is red. The events A and B are a. independent. b. disjoint c, conditionals. d. None of the choices are correct.

Explanation / Answer

18) Solution:

option b. P(A or B) = 0.64

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

A and B independent

P(A and B)=P(A) *P(B)

P(A and B) = 0.06

P(A or B) = 0.1+0.6-0.06
= 0.64

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