Question

Assertion (A): The probabilty of not winning a game is 0.4 and winning a game is 0.6
Reason ®: P(E) + P(not E)=1.​

Answer 1

Answer:

❣ ANSWER ❣

✡ ROCKY HERE

Both A and R are true and R is the correct explanation of the A .

✴HAPPY TO HELP

Answer 2

Assertion : The probabilty of not winning a game is 0.4 and winning a game is 0.6.

Reason : P(E) + P(not E) = 1

• Probability is the branch of mathematics dealing with numerical description of how likely an event is to occur.
• In short, probability is the mathematical tool to understand the uncertainty of events.
• It is the ratio of favourable outcomes to total outcomes.

∵ P(E) = n(E)/n(S)

but n(E) + n(not E) = n(S)

[ It is obvious that total outcomes is the sum of favourable outcomes and unfavorable outcomes, isn't it ? ]

⇒n(E)/n(S) + n(not E)/n(S) = 1

⇒P(E) + P(not E) = 1

so reason is true.

The probability of not winning a game, P(not E) = 0.4

and probability of winning a game , P(not E) = 0.6

here , P(E) + P(not E) = 0.4 + 0.6 = 1

you see, the Assertion is also true.

hence assertion and reason both are true, and reason is correct explanation of assertion.