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A coin is tos...

Question

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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Solution

When a coin is tossed then $S_{1} = {H, T}$ When the coin shows T then draw a ball from a box
$S_{2} = {R_{1}, R_{2}, B_{1}, B_{2}, B_{3}}$
When the coins hows H then a die is thrown
Thus $S = {T R_{1}, T R_{2}, T B_{1}, T B_{2}, T B_{3}, H 1, H 2, H 3, H 4, H 5, H 6}$

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