Question

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​

Answer 1

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5

Answer 2

ANSWER:

There are 52 cards in total.

Hence, total Outcomes =52

Probability of the card drawn is a card of spade or a face card:

Total cards of Spade = 13

Total face card = 12

Number of face card of Spade = 3

Therefore,

Probability of the card drawn is a card of spade or a face card:

$\sf\frac{13}{52} + \frac{12}{52} - \frac{3}{52}$

$\sf\frac{13 + 12 - 3}{52}$

$\sf\frac{\cancel{22}}{\cancel{52}} = \frac{11}{26}.$