| Directions: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. |
| You have to select the one that best describes the two statements. |
| Assertion In a simultaneously throw a pair of dice. The probability of getting a double is \[\frac{1}{6}\]. |
| Reason Probability of an event may be negative. |
A) If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
Correct Answer: C
Solution :
When two dice are tossed. Total possible outcomes = 36 n(S)=36 and total favourable outcomes (doublet) = {(1,1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} n(E)=6 \[\therefore \] Probability \[=\frac{6}{36}=\frac{1}{6}\]and We know that, \[0\le P\left( E \right)\le 1\] Hence, Assertion is true but Reason is false.
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