Question

Which of the following show an element of the sample space for first tossing a coin and then rolling a die?

A. T8
B. T6
C. TH
D. H5
E. 34
F. T4

Answer 1

Which of the following show an element of the sample space for first tossing a coin and then rolling a die?

Answer: T6, H5, and T4

Answer 2

The correct options are B, D and F.

Explanation:

If a coin is tossed, then the total sample space is

`S_1=\{H,T\}`

If a dics is rolled, then the total sample space is

`S_2=\{1,2,3,4,5,6\}`

If first we tossing a coin and then rolling a die, then the total sample space is

`S=\{H1,H2,H3,H4,H5,H6, T1,T2,T3,T4,T5,T6\}`

`T8\\otin S`

Therefore, option A is incorrect.

`T6\in S`

Therefore, option B is correct.

`TH\\otin S`

Therefore, option C is incorrect.

`H5\in S`

Therefore, option D is correct.

`34\\otin S`

Therefore, option E is incorrect.

`T4\in S`

Therefore, option F is correct.

Thus the correct options are B, D and F.