| Assertion (A): In a game, the entry fee is Rs.10. The game consists of tossing of 5 coins. If one or two heads show, Amita with the game and gets entry fee. The probability, the she gets the entry fee is \[\frac{3}{4}\]. |
| Reason (R): When three coins are tossed together, all the outcomes are {HHH, HHT, HTH, THH, HTT, THT, TTH and TTT}. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: A
Solution :
| [a] Clearly. Reason is true. |
| Now, in case of tossing three coins, total number of possible outcomes =8 |
| Favorable outcomes are |
| \[\{HHT,HTH,THH,HTT,THT,TTH\}\]i.e., 6. |
| \[\therefore \] Required probability \[=\frac{6}{8}=\frac{3}{4}\] |
| \[\therefore \] Assertion: True; Reason: True, and it is the correct explanation of Assertion |
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