HUu randoml randomly draw two cards from a standard deck of playing cards withou
ID: 3219253 • Letter: H
Question
HUu randoml randomly draw two cards from a standard deck of playing cards without replacement. What is the probability that both of the cards drawn from the deck of cards are face cards (king, queen, or jack)? Enter answer as a faction (original fraction or a reduced fraction) or as a decimal rounded to 3 decimal places with a o to the left of the decimal point. If appropriate enter answer as an integer. Do not enter answer as a percent. b You randomly draw two cards from a standard deck of playing cards without replacement. What is the probability you draw 2 red cards from the deck of cards and both of the cards are hearts? Enter answer as a faction (original or a reduced fraction) or as a decimal rounded to 3 decimal places with a 0 to the left of the decimal point. If appropriate enter answer as an integer. Do not enter answer as a percent.Explanation / Answer
Q1) required probability = 12C2/ 52C2 = 12*11/52*51 = 0.0497
Face cards are 12 in total . There are 12C2 ways of selecting face cards
2)P(2 Hearts/2Red) = 13C2 / 26C2 = 13*12/26*25 =0.240
3)Required Probability = P(Red king) * P(Red) + P(Black king) * P(Red) = 2/52*25/51 + 2/52 * 26/51= 0.0384
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