Question

A coin (H: heads; T: tails) is flipped and a number cube (1, 2, 3, 4, 5, 6) is rolled. What is the sample space for this experiment?

is it
;
H1, H2, H3, H4, H5, H6

H, T, 1, 2, 3, 4, 5, 6

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

or

T1, T2, T3, T4, T5, T6


(and please provide explanation)

Answer 1

The third one because the coin can only land on heads or tails and the #cube can only land on the #'s 1-6 so you would need all the #'s for heads and tails.

Answer 2

Answer: Third option is correct.

Explanation:

Since we have given that

There is a coin and a number cube.

Outcomes of coin are Head and Tail.

Number of outcomes = 2

Outcomes of number cube are {1,2,3,4,5,6}

Number of outcomes = 6

Total number of outcomes = 2 × 6=12

So, Sample space would be

{H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

Hence, Third option is correct.