Question

If P(A)=0.35, then the probability of the complement of A is

Answer 1

Answer:

0.65

Step-by-step explanation:

Complement of an event is defined as the all the other outcomes that are not in the given event.

So complement of event A will be all the outcomes that are not in event A.

Probability of event A is given to be 0.35

P(A) = 0.35

The sum of probabilities of an event and its compliment is always equal to 1

So,

P(A) + P(A') = 1

Where, A' represents the compliment of A

So, from here we can write:

P(A') = 1 - 0.35

P(A') = 0.65

Therefore, the probability of the complement of A is 0.65

Answer 2

Answer:

P(A') = 0.65

Step-by-step explanation:

We are given that the probability P(A) = 0.35 and we are to determine the probability of the complement of A.

According to the Complement Rule of any probability, the sum of the probabilities of an event and its complement must be equal to 1.

So for for the event A,

P(A) + P(A') = 1

0.35 + P(A') = 1

P(A') = 1 - 0.35

P(A') = 0.65