A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades.Each suit consists of cards numbered 2 through 10, a jack,a queen,a king,and an ace.

Bashir decides to pick one card at random from a standard deck of 52 cards. Let F be the event that he chooses a face card(a jack, queen, or king of any suit) and S be the event that he chooses a spade.

what is P (F or S), the probability that the card Bashir chooses is either a face card or a spade?

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janehill33 janehill33 · Answer 1 · 2020-04-07T18:03:27+02:00

Step-by-step explanation:

The total number of cards, n (C) = 52

Let F be the event that he chooses a face card(a jack, queen, or king of any suit)

The total number of cards in F event, n (F) = 3 * 4 (no of suits) = 12

S be the event that he chooses a spade,

The total number of cards in S event, n (S) = 13

n (A ∩ B) = 3

The probability that the card Bashir chooses is either a face card or a spade,

P (F or S) = [ n(F) + n(S) - n(F ∩ S) ] / n (C)

= [ 13 + 12 - 3 ] / 52

= 22 / 52 = 11 / 26