2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. Calculate the following: a) P(A and B) = b) P(A B) = c) P(B A) = %3D

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Can you answer question 2 and question 3
2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8.
Calculate the following:
a) P(A and B) =
b) P(A |B) =.
c) P(B |A) =
d) P(A) =.
e) P(B) =.
f) Are A and B mutually exclusive? Why or why not?
g) Are A and B independent? Why or why not?
3) One card is selected from an ordinary deck of 52 cards. Find the conditional probabilities:
(You can write answer as a fraction or decimal rounded to three decimal places.)
a) A spade given the card is black
b) A spade given the card is red
c) A 4 given the card is not a picture card
d) A king given the card is a picture card
Transcribed Image Text:2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. Calculate the following: a) P(A and B) = b) P(A |B) =. c) P(B |A) = d) P(A) =. e) P(B) =. f) Are A and B mutually exclusive? Why or why not? g) Are A and B independent? Why or why not? 3) One card is selected from an ordinary deck of 52 cards. Find the conditional probabilities: (You can write answer as a fraction or decimal rounded to three decimal places.) a) A spade given the card is black b) A spade given the card is red c) A 4 given the card is not a picture card d) A king given the card is a picture card
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