A single card is pulled from a deck of cards. The probability that the card is black in colour or is an ace is:

Answer 1

To find the probability that the card is black in colour or is an ace, we need to calculate the sum of the probabilities of these two mutually exclusive events.

1. Probability of drawing a black card:
In a standard deck of 52 cards, there are 26 black cards (13 clubs and 13 spades). Therefore, the probability of drawing a black card is 26/52 = 1/2.

2. Probability of drawing an ace:
In a standard deck of 52 cards, there are 4 aces (one for each suit - hearts, clubs, diamonds, and spades). Therefore, the probability of drawing an ace is 4/52 = 1/13.

Since these two events are mutually exclusive (a card cannot be both black and an ace), we can add their probabilities together to find the probability of either event occurring:

Probability (black card or ace) = Probability (black card) + Probability (ace)
= (1/2) + (1/13)
= 13/26 + 2/26
= 15/26

Therefore, the probability that the card drawn is black in colour or is an ace is 15/26.