Using a deck of 52 cards, the probability of drawing an Ace is 4/52 and the prob

Question

Using a deck of 52 cards, the probability of drawing an Ace is 4/52 and the probability of drawing a diamond is 13/52. Explain why the probability of drawing either an Ace OR a diamond is NOT 17/52. Using a deck of 52 cards, the probability of drawing an Ace is 4/52 and the probability of drawing a diamond is 13/52. Explain why the probability of drawing either an Ace OR a diamond is NOT 17/52. Using a deck of 52 cards, the probability of drawing an Ace is 4/52 and the probability of drawing a diamond is 13/52. Explain why the probability of drawing either an Ace OR a diamond is NOT 17/52.

Explanation / Answer

The probability that an ace is drawn is 4/52, or 1/13

The probability that a Diamond is drawn is 13/52, or 1/4

But don't forget that one of the aces is the ace of diamond.Therefore, we need to exclude this scenario from overall probabilities of both the situation.

P(an ace or diamond is drawn)= 4/52+13/52-1/52 = 16/52

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