Question

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

1) 1/4
2) 1/2
3) 3/4
4) 1

Answer 1

To find the probability that the card Bashir chooses is either a face card or a spade, we need to find the number of cards that satisfy the conditions and divide it by the total number of cards in the deck. The probability is 3/4.

Step-by-step explanation:

To find the probability that the card Bashir chooses is either a face card or a spade, we need to find the number of cards that satisfy the conditions and divide it by the total number of cards in the deck.

There are 12 face cards in a deck (4 jacks, 4 queens, and 4 kings) and there are 13 spades in a deck. The king of spades is also a face card, so we need to subtract it from the total.

Therefore, the number of cards that are either a face card or a spade is 12 + 12 - 1 = 23. The total number of cards in a deck is 52.

So, the probability is 23/52 = 3/4.