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A single card is drawn from a deck. the probability of selecting the a club or a diamond is 90%.

A. true
B. false

User Talg
by
7.6k points

1 Answer

2 votes

Final answer:

The probability of drawing a club or a diamond from a single draw of a well-shuffled standard deck of 52 cards is 50%, making the statement that it is 90% false. The correct option is B.

Step-by-step explanation:

The probability of selecting a club or a diamond from a well-shuffled standard deck of 52 playing cards is not 90%. A standard deck consists of four suits: clubs, diamonds, hearts, and spades, each with 13 cards. As clubs and diamonds together make up half the deck, the probability of pulling either a club or a diamond is calculated by summing the individual probabilities of drawing a club or a drawing a diamond:

P(Club or Diamond) = P(Club) + P(Diamond)

Since there are 13 cards of each suit:

P(Club) = 13/52 and P(Diamond) = 13/52

Therefore:

P(Club or Diamond) = 13/52 + 13/52 = 26/52 = 1/2 = 50%

This makes the statement that the probability is 90% false.

User Justin Rose
by
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