Question

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

Answer 1

Answer:

The correct options are B, D and F.

Step-by-step 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

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

$T8\notin S$

Therefore, option A is incorrect.

$T6\in S$

Therefore, option B is correct.

$TH\notin S$

Therefore, option C is incorrect.

$H5\in S$

Therefore, option D is correct.

$34\notin S$

Therefore, option E is incorrect.

$T4\in S$

Therefore, option F is correct.

Thus the correct options are B, D and F.