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Straight Lines
Question
An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
Solution
A coin is tossed, the sample space, 
A coin is tossed again, the sample space,
A die is rolled, the sample space,
If a head comes up in the first toss, the coin is tossed again. If a tail comes up in the first toss, a die is rolled.
∴ The combined sample space,
S = {HH, HT. T1, T2, T3, T4, T5, T6}
Some More Questions From Straight Lines Chapter
Describe the sample space S, when a die is tossed once .
An experiment consists of recording boy-girl composition of families with 2 children. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
An experiment consists of recording boy-girl composition of families with 2 children. What is the sample space if we are interested in the number of girls in the family?
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.
A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
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