Maths · Probability: Probability of an event, addition and multiplication theorems of probability
What is the probability of selecting two spade cards from a pack of 52 cards?
What is the probability of selecting two spade cards from a pack of 52 cards?
- A. \( 1 / 17 \)
- B. 15/17
- C. \( 32 / 64 \)
- D. 5/17
Step-by-step solution
The probability of drawing a spade from a standard deck of 52 cards is 13/52 = 1/4. Without replacement, the probability of drawing a second spade is 12/51. Multiply: (13/52) * (12/51) = (1/4)*(12/51) = 12/204 = 1/17.
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