Question

A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 through 10, a jack, a queen, a king, and an Ace. Jacob decides to pick one card at random from a standard deck of 52 cards. What is the probability that the card Jacob chooses is either a four or six?

a) 1/13
b) 1/26
c) 1/52
d) 1/6

Answer 1

The correct answer to the probability of Jacob choosing either a four or a six from a standard deck of 52 cards is option a) 1/13, which is found by adding the probability of drawing a four and a six together.

Step-by-step explanation:

The student has asked about the probability of choosing either a four or a six from a standard deck of 52 cards. In a standard deck of cards, there are four fours and four sixes, one of each in every suit (hearts, clubs, diamonds, spades). To find the probability of drawing either a four or a six, add up the probabilities of drawing each:

Probability of drawing a four: 4 out of 52 cardsProbability of drawing a six: 4 out of 52 cards

To combine these, remember that the events are mutually exclusive (you can't draw a four and a six at the same time), so you simply add the probabilities:

Probability of drawing either: (4/52) + (4/52) = 8/52 which simplifies to 1/13, therefore the correct answer is option a) 1/13.