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  3. a card is drawn from a standard deck of 52 cards.

A card is drawn from a standard deck of 52 cards. Find the probability that the...

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Question

Basic Math

A card is drawn from a standard deck of 52 cards. Find theprobability that the card is a

      -   

not a face card

      -

diamond or Jack

      -   

face card and spade

      -

face card or a club

a.

None of these

b.

3/52

c.

13/52

d.

40/52

e.

16/52

f.

22/52

Answer & Explanation Solved by verified expert
4.2 Ratings (704 Votes)

(1)

P(Not a Face Card) = 1 - (12/52) = 40/52

So,

Correct option:

d.     40/52

(2)

P(Diamond OR Jack) = P(Damond) + P(Jack) - P(Diamond & Jack)

                                  = 13/52   + 4/52 - 1/52

                                    = 16/52

So,

Correct option:

e.     16/52

(3)

P(Face Card & Spade) = 3/52

So,

Correct option:

b.   3/52

(4)
P(Face Card OR Club) =P(Face Card) + P(Club) - P(FaceCard & Club)

                                    = 12/52   + 13/52 - 3/52

                                      - 22/52

So,

Correct option:

f.     22/52
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