Subtopic: Mean, median, mode and standard deviation
Question Statement:
Probability and Statistics: Mean, median, mode and standard deviation; random variables; Poisson, normal and binomial distributions; correlation and regression analysis.
Two cards are drawn at random without replacement from a pack of 52 playing cards. The probability that both cards are black (rounded to 3 decimals) is ______.
Official Answer Key:
0.244 to 0.246
Step-by-Step Solution & Explanation
There are 26 black cards (spades + clubs) in 52. Drawing 2 without replacement:
P = (26/52) × (25/51) = C(26,2)/C(52,2) = 325/1326 = 0.2451 ≈ 0.245.
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