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Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box. If two slips of a paper arc drawn at random without replacement, what is the probability that both the numbers picked are prime?
Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box. If two slips of a paper arc drawn at random without replacement, what is the probability that both the numbers picked are prime?
Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box. So, the numbers in the box are: 3, 13, 23, 33, and 43 (5 numbers) Among those 5 numbers, the primes are: 3, 13, 23, and 43 (4 numbers)
P(both are prime) = P(1st number is prime AND 2nd number is prime) = P(1st number is prime) x P(2nd number is prime) = 4/5 x 3/4 = 3/5