Question Bank - Mathematics

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Thirty two number card bearing numbers 1 to 32 are put in a box and then a number card is drawn from it at random.What is the probability that the number card bears a prime number?

A.
\(\frac{13}{32}\)
B.
\(\frac{3}{8}\)
C.
\(\frac{11}{32}\)
D.
\(\frac{5}{16}\)

Solution:

Given:Total number of cards = 32Formula used:Probability of an event = Total number of favorable outcomes/Total number of outcomesCalculation:Total number of cards = 32? Total number of outcomes = 32Prime numbers between 1 to 32 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31? Total number of favorable outcomes = 11The probability that the number card bears a prime number = 11/32? The probability that the number card bears a prime number is 11/32

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