Question

in a standard deck of t2 playing cards, there are 4 aces, 4 kings, 4 queens, and 4 Jacks. All other cards have number values. the kings, queens, and Jack's are called face cards. You are dealt 2 cards in sequence. Calculate the probability of being dealt 2 face cards. write your answer as a decimal to the nearest hundredth​

Answer 1

Answer: 0.05

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Step-by-step explanation:

There are 12 face cards (4 kings+4 queens + 4 jacks) out of 52 total.

The probability of getting one face card is 12/52 = 3/13

After a face card is dealt, we have 12-1 = 11 face cards left out of 52-1 = 51 total. The probability of getting another face card is 11/51.

Multiply the fractions found. Use a calculator.

(3/13)*(11/51) = 0.04977

This rounds to 0.05 when rounding to two decimal places (nearest hundredth)

Note: this assumes you do not put the first card back or replace the first card with an equivalent card.