Question

10. A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the
die is thrown again. What is the sample space for the experiment?
​

Answer 1

Answer:

Step-by-step explanation:

When a coin is tossed outcomes are :-

Heads and Tails

When a die is thrown outcomes are :-

1 , 2 , 3 , 4 , 5 , 6

When a Coin is Tossed

( i ) Head is the Outcome

Outcomes are :-

H1 , H2 , H3 , H4 , H5 , H6

If and even number shows up on dice

Outcomes are :-

H21 , H22 , H23 , H24 , H25 , H26

H41 , H42 , H43 , H44 , H45 , H46

H61 , H62 , H63 , H64 , H65 , H66

( ii ) Tail is the Outcome

Outcome is :-

T

Sample space

S = {                                        H1 , H3 , H5

                             H21 , H22 , H23 , H24 , H25 , H26

                             H41 , H42 , H43 , H44 , H45 , H46

                             H61 , H62 , H63 , H64 , H65 , H66

                                                    T                      

}