SOLUTION: two cards are drawn from a set of ten cards numbered from one to ten, without replacing the first card. What's the probability that both cards have prime numbers on them????
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Question 693600: two cards are drawn from a set of ten cards numbered from one to ten, without replacing the first card. What's the probability that both cards have prime numbers on them???? Answer by solver91311(24713) (Show Source):
In the numbers 1 to 10 there are exactly 4 prime numbers, namely 2, 3, 5, and 7.
The probability that the first card has a prime number is
The probability that the second card has a prime number, given that the first had a prime number is , since there are now only 3 prime number cards left out of 9 total cards left to choose from.
Since the two events described above are independent, the probability of both events is the product of the two probabilities. Multiply times
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it