Question

In: Statistics and Probability

4. The experiment is to draw a card from a standard deck of cards. Consider the...

4. The experiment is to draw a card from a standard deck of cards. Consider the following events: Q = drawing a Queen R = drawing a red card

a. Are Q and R mutually exclusive? Clearly explain.

b. Find P(Q) and P(Q|R).

c. Are the events Q and R independent? Clearly explain.

Expert Solution

Q=Drawing a queen card

R=Drawing a red card

a. Q and R are not mutually exclusive.

Mutually exclusive even means both can't occure at the same time.

But queen card and red both can occure art the same time (We have 2 cards which are queen as well as red)

b.

P(Q)

as there are 4 queen cards in deck

P(R)

As there are 26 red card in standard deck

c.

As

Q and R are independent events.

orchestra answered 2 years ago

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