Question

f x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?

Answer 1

`(7)/(12)`

Explanation:

Given that X is to be chosen to be chosen at random from the set {1, 2, 3, 4} and y is at random from the set {5, 6, 7},

Sample space of xy ={5,6,7, 10,12,14, 15,18,21,7,14,21,28}

Subspace containing even numbers = {6,10,12,14,18,14,28}

Probability xy is even = n(even numbers in xy)/n(total numbers in xy)

`(7)/(12)`