Assertion - Two dice are thrown simultaneously- There are 11 possible outcomes and each of them has a probability 1-11- Reason - Probability of an event E is defined as P E - Number of favourable outcomes - T otal number of possible outcomes-A- Both assertion and reason are true and reason is the correct explanation of assertion-B- Assertion is false but reason is true-C- Both assertion and reason are true but reason is not the correct explanation of assertion-D- Assertion is true but reason is false-

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Experimental Probability

Assertion : T...

Question

Assertion : Two dice are thrown simultaneously. There are 11 possible outcomes and each of them has a probability $\frac{1}{11}$ .
Reason : Probability of an event (E) is defined as P(E) $= \frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$ .

Both assertion and reason are true and reason is the correct explanation of assertion.

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Both assertion and reason are true but reason is not the correct explanation of assertion.

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Assertion is true but reason is false.

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Assertion is false but reason is true.

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Solution

The correct option is D Assertion is false but reason is true.
If two dice will be thrown simultaneously then the total number of possible outcomes is 36 (6 x 6) and probability of each outcome is equal to $\frac{1}{36}$ .
Probability of an event (E) is defined as P(E)
$= \frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$ .
$\Rightarrow$ Assertion : False
$\Rightarrow$ Reason : True

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Assertion : Two dice are thrown simultaneously. There are 11 possible outcomes and each of them has a probability 111. Reason : Probability of an event (E) is defined as P(E) =Number of favourable outcomesTotal number of possible outcomes.