Question

Standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace.

Bashir decides to pick one card at random from a standard deck of 525252 cards. Let FFF be the event that he chooses a face card (a jack, queen, or king of any suit) and SSS be the event that he chooses a spade.

What is P(F\text{ or }S)P(F or S)P, left parenthesis, F, start text, space, o, r, space, end text, S, right parenthesis, the probability that the card Bashir chooses is either a face card or a spade?

Answer 1

got it on kahn trust

Explanation:

Answer 2

0.4231 or 42.31%

Explanation:

In a standard 52 card deck there are 13 spade cards (52/4) and there are 12 face cards (4 suits x 3 face cards). Moreover, 3 cards are both face and spade cards.

Therefore, the probability that the card Bashir chooses is either a face card or a spade is given by:

`P(F\ or\ S)=P(F)+P(S)-P(F\ and\ S)\\P(F\ or\ S)=(13)/(52) +(12)/(52) -(3)/(52)\\P(F\ or\ S)=0.4231`

The probability is 0.4231 or 42.31%