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.

Asked by Abhisek | 11 months ago |  80

##### Solution :-

Since either coin can turn up Head (H) or Tail (T), are the possible outcomes.

Let us assume R1, R2 denote the event the red balls are drawn and B1, B2, B3 denote the events black ball are drawn.

Let us assume that 1, 2, 3, 4, 5 and 6 are the possible outcomes when the die is thrown.

(i) Coin shows Tail.

So, the sample space S= {(TR1), (TR2), (TB1), (TB2), (TB3)}

(ii) Coin shows head.

So, the sample space S= {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6)}

Hence, the overall sample space for the problem= S+ SH

S = {( T,R1), (T,R2), (T,B1), (T,B2), (T,B3), (H,1), (H,2), (H,3), (H,4), (H,5), (H,6)}

Answered by Pragya Singh | 11 months ago

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