Statement A (Assertion) : Two dice ar thrown simultaneously. Ther… - Vidyadip

MCQ

Statement A (Assertion) : Two dice ar thrown simultaneously. There are 11 possible outcomes of their sum $\{(3,4,5,6,7,8,9,10,11$ $12,13)\}$ and each of them are equally likely.
Statement R (Reason) : Probability of ar event $E$ is defined as :
$P(E)=\frac{\text { Number of outcomes favourable to } E}{\text { Total number of possible outcomes }}$

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 and reason $(R)$ is not the correct explanation of assertion (A).
C
Assertion $(A)$ is true but reason $(R)$ is false.
✓
Assertion (A) is false but reason $(R)$ is true.

✓

Answer

Correct option: D.

Assertion (A) is false but reason $(R)$ is true.

(d):Clearly, Reason is true.
Now, if two dice will be thrown simultaneously, then the possible outcomes of their sum will be $\{2,3,4,5,6$, $7,8,9,10,11,12\}$ and probability of each outcome is not equally likely.
$\therefore \quad$ Assertion is false.

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