Let A = {2, 3, 4, . . . . . 20, 21}. A number is chosen at random from the set A and it is found to be a prime number. The probability that it is more than 10 is
A. 9/10
B. 1/10
C. 1/5
D. None of these
Solution(By Examveda Team)
There is 8 prime numbers in given set of numbers. And there is 11 numbers more than 10.Thus, required probability = 8/11.
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Prime Numbers in the given Set A are
2, 3, 5, 7, 11, 13, 17, 19.
Total prime numbers in the A = 8.
There are 4 events that will give a prime number more than 10.
Thus, required probability = 4/8 = 1/2.