Question

If you are dealt 4 cards from a regular 52-card deck, what is the probability of getting all 4 cards of the same suit? (suit means all diamonds, hearts, spades, or clubs ) Round to the nearest thousan

Answer 1

To find the probability of getting all 4 cards of the same suit from a regular 52-card deck, we need to determine the number of favorable outcomes and the total number of possible outcomes. The probability is approximately 0.003.

Step-by-step explanation:

To find the probability of getting all 4 cards of the same suit, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There are 4 suits in a deck and for each suit, there are 13 cards. So, the total number of possible outcomes is 4 * 13 = 52.

To get all 4 cards of the same suit, we can choose any one of the 4 suits and then select 4 cards from that suit. The number of favorable outcomes is thus C(4,1) * C(13,4).

The probability of getting all 4 cards of the same suit is the ratio of favorable outcomes to total outcomes: P = (C(4,1) * C(13,4)) / 52

Calculating this probability gives: P = 0.002641, which when rounded to the nearest thousandth is approximately 0.003.