Question

Question 14 An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.

Class X1 - Maths -Probability Page 387

Answer 1

if the number on the die is even then tossing a coin once . and if the number on the die is odd then tossing a coin twice.

see chart in attachment,
in die , 1, 3, 5 are odd numbers ,
for each odd number there are 4 possibilities of arranging {(HH),(HT),(TH),(TT)}

2, 4, 6 are even numbers.
for each even number , there are 2 possibilities of arranging { (HT),(TH)}

so, total number of sample space = 4 + 2 + 4 + 2 + 4 + 2 = 18
e.g., S = {1HH,1HT,1TH,1TT,2H,2T,3HH,3HT,3TH,3TT,4H,4T,5HH,5HT,5TH,5TT,6H,6T}

Answer 2

Answer:

Step-by-step explanation:

if the number on the die is even then tossing a coin once . and if the number on the die is odd then tossing a coin twice.

see chart in attachment,

in die , 1, 3, 5 are odd numbers ,

for each odd number there are 4 possibilities of arranging {(HH),(HT),(TH),(TT)}

2, 4, 6 are even numbers.

for each even number , there are 2 possibilities of arranging { (HT),(TH)}

so, total number of sample space = 4 + 2 + 4 + 2 + 4 + 2 = 18

e.g., S = {1HH,1HT,1TH,1TT,2H,2T,3HH,3HT,3TH,3TT,4H,4T,5HH,5HT,5TH,5TT,6H,6T}