1.Take simultaneously 4 cards out of a standard deck of 52. Recall that in such a...

1.Take simultaneously 4 cards out of a standard deck of 52. Recall that in such a deck there are exactly 4 Aces and exactly 4 Kings. Let A = At least 2 of the cards taken are Aces and B = At least 2 of the cards taken are Kings.

Referring to the events A and B from the previous question we have:

A A and B are independent

B The contrary of A implies B

C P(A and B)<.1

D A and B are incompatible

2.

Consider a sample space S, a probability P on S, and 7 independent events denoted A^1, A^2, ..., A^7 included in S. Which of the following is NOT true?

A A^1, A^2, A^6 are independent

B The contrary of A^2 and the contrary of A^5 are independent

C A^3, the contrary of A^4 and the contrary of A^7 are pairwise independent

D At least 2 of the 7 given events are incompatible

Expert Solution

orchestra answered 1 year ago

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