Answer to Question #256893 in Statistics and Probability for Ayomide Adebiyi

Question

In an experiment of a single roll of two dice, present the sample space by a rectangular array. From the array, let A be an event that the sum of numbers that appear is even, B an event that the sum is odd and C be an event that the sum is prime. Therefore, find: a) The event that an even number of at least equal to 10 or an odd of at least equal to 10 appears. b) The event that an even number of less than 6 and a prime number of less than 6 appears. c) The event that an even number does not occur in the sample space. d) The event that an even number greater than 12 and an odd number less than 3 appears.

Answer 1

A={2,4,6,8,10,12}

B={3,5,7,9,11}

C={2,3,5,7,1}

a)

{(4,6),(6,4),(5,5)}

b)

{(2,2),(2,3),(3,2),(2,5),(5,2)(4,3),(3,4),(4,5),(5,4)}

c)

{(1,2),(2,1),(1,4),(4,1),(6,1),(1,6),(2,3),(3,2),(3,4),(4,3),(3,6),(6,3),(2,5),(5,2),(4,5),(5,4),(5,6),(6,5)}

d)

{ $\empty$ }