Question

A spinner divided into four equal parts, a, b, c and d is spun then is followed by a roll of a standard six sided die.

how many total outcomes are possible?

how many outcomes have an ‘A’ and an odd number ?

Answer 1

Possible number of outcomes = 24

Number of outcomes have an 'a' and an odd number = 3

Explanation:

The total outcomes are as follows:

S = {(a, 1), (a, 2), (a, 3), (a, 4), (a, 5), (a, 6),

(b, 1), (b, 2), (b, 3), (b, 4), (b, 5), (b, 6),

(c, 1), (c, 2), (c, 3), (c, 4), (c, 5), (c, 6),

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

n(S) = 24

Hence, possible number of outcomes = 24

The outcomes have an 'a' and an odd number are:

E = {(a, 1), (a, 3), (a, 5)}

n(E) = 3

Hence, there are 3 outcomes have an 'a' and an odd number.