| Assertion (A): Three unbiased coins are tossed together, then the probability of getting exactly 1 head is \[\frac{3}{8}\]. |
| Reason (R): Favourable number of outcomes do not lie in the sample space of total number of outcomes. |
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: C
Solution :
| [c] Favorable outcomes always lies in the sample space of total number of outcomes. So, Reason is false. |
| Total possible outcomes are |
| \[\{HHH,HHT,HTH,THH,TTH,THT,HTT,TTT\}\]i.e., 8 |
| Let E be the event of getting exactly 1 head. |
| \[\therefore \] Outcomes favorable to E are \[\{TTH,THT,HTT\}\]i.e., 3 |
| \[P(E)=\frac{3}{8}\] |
| \[\therefore \] Assertion: True; Reason; true. |
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