Question

Given that S= {1, 2, 3, 4, 5, 6). If a number is selected from the set, find the probability that it is a) even, b) odd c) perfect square multiple of2 d) e) greater than 3 f) prime​

Answer 1

a) If a number is selected from the set S, there are 3 even numbers (2, 4, 6), so the probability of selecting an even number is 3/6 = 1/2.

b) If a number is selected from the set S, there are 3 odd numbers (1, 3, 5), so the probability of selecting an odd number is 3/6 = 1/2.

c) If a number is selected from the set S, there is only 1 number that is a perfect square multiple of 2 (4), so the probability of selecting a perfect square multiple of 2 is 1/6.

d) There is no information provided to answer this question.

e) If a number is selected from the set S, there are 3 numbers greater than 3 (4, 5, 6), so the probability of selecting a number greater than 3 is 3/6 = 1/2.

f) If a number is selected from the set S, there are 3 prime numbers (2, 3, 5), so the probability of selecting a prime number is 3/6 = 1/2.