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Question

# A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail, we throw a die. Describe the sample space of this experiment.

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Solution

## Given: A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail, we throw a die. If a coin is tossed then possible outcomes are (H,T) If a dice is thrown then possible outcomes are (1,2,3,4,5,6) If it shows head then we draw a ball from a bag consist of 3 blue (B1,B2,B3) balls & 4 white (W1,W2,W3,W4) balls. So, sample space if it is head is SH={HB1,HB2,HB3HW1,HW2,HW3,HW4} ⋯(i) if it shows tail we throw a die. So, sample space if it is tail is ST={T1,T2,T3,T4,T5,T6} ⋯(ii) From (i) and (ii) The sample space is S={HB1,HB2,HB3,HW1,HW2,HW3,HW4,T1,T2,T3,T4,T5,T6}.

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