General Mathematics

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19.07.2022 - 22:18

What is the probability of selecting a red card or a black card from a deck of 52 cards?

Question:

What is the probability of selecting a red card or a black card from a deck of 52 cards?

Answers (1)

Zendaya April 7, 2023 в 03:06

The probability of selecting a red card or a black card from a deck of 52 cards is 1.
This is because every card in the deck is either red or black, and there are no cards that are both red and black. Therefore, any card you pick will necessarily be either red or black, and the probability of selecting a red card or a black card is the probability of selecting any card in the deck, which is 1.
Another way to approach this problem is to use the formula for the probability of the union of two events. Let A be the event of selecting a red card and B be the event of selecting a black card. Then, the probability of selecting a red card or a black card is:
P(A or B) = P(A) + P(B) - P(A and B)
Since the events A and B are mutually exclusive (i.e., a card cannot be both red and black), the probability of their intersection, P(A and B), is 0. Therefore, we have:
P(A or B) = P(A) + P(B) - 0 = 26/52 + 26/52 = 1
So, the probability of selecting a red card or a black card from a deck of 52 cards is 1.

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