A fair tetrahedral dice (with face number 1,2,3,4)and a fair coin are tossed together.

A) construct a table for the sample space of the random experiment.

B) using your sample space. Find the probability that:
a) A tail and an odd number show up
b) A head and a square show up
c) A head show up

1 answer

A) Sample Space:
Toss 1 | Toss 2 | Result
Head | 1 | Head, 1
Head | 2 | Head, 2
Head | 3 | Head, 3
Head | 4 | Head, 4
Tail | 1 | Tail, 1
Tail | 2 | Tail, 2
Tail | 3 | Tail, 3
Tail | 4 | Tail, 4

B) a) P(Tail, Odd) = P(Tail, 1) + P(Tail, 3) = 1/4 + 1/4 = 1/2

b) P(Head, 4) = 1/4

c) P(Head) = P(Head, 1) + P(Head, 2) + P(Head, 3) + P(Head, 4) = 1/2