Question
Two coins are tossed and a tetrahedral die is thrown. The tetrahedral die has 4 faces numbered 1, 2, 3, 4.
(ii)Work out the probabilities for the following outcomes:
(a) only one head and an even number;
(b) no heads and a 4;
(c) a head and a tail (in any order) and an odd number.
(ii)Work out the probabilities for the following outcomes:
(a) only one head and an even number;
(b) no heads and a 4;
(c) a head and a tail (in any order) and an odd number.
Answers
mathhelper
outcomes of the two coin tosses
HH
HT
TH
TT
a) prob(only one head and even number) = (2/4)(2/4) = 1/4
b) prob(no heads, and 4) = (1/4)(1/4) = 1/16
c) prob(head and tail and odd) = (2/4)(2/4) = 1/4
HH
HT
TH
TT
a) prob(only one head and even number) = (2/4)(2/4) = 1/4
b) prob(no heads, and 4) = (1/4)(1/4) = 1/16
c) prob(head and tail and odd) = (2/4)(2/4) = 1/4