Question

Assertion :Since sample space of the experiment, a coin is tossed if it turns up head a die is thrown, is $\left\{\right(H,1),(H,2),(H,3),(H,4),(H,5),T\}$
$\therefore$ Prob of the event $\left\{\right(H,1),(H,2),(H,5\left)\right\}$ is $\frac{3}{7}$. Reason: If all the sample points in the sample space of an experiment are pairwise mutually exclusive, equally likely, and exhaustive, then the probability of an event $E$ is defined as
$P\left(E\right)=\frac{NumberofsamplepointsfavourabletotheeventE}{Totalnumberofsamplepointsinthesamplespace}$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is incorrect but Reason is correct
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is incorrect but Reason is correct

Assertion is incorrect as $(H,6)$ outcome is not included.
Also Reason is correct as the formula given is correct.