Question

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

0.55

-0.35

0.35

0.65

Answer 1

0.65

Step-by-step explanation:

Probability of an event P(A) shows the chances for this event to actually happen or occur

Probability of the complement of an event P'(A) shows the chances for this event not to happen or occur

The sum of the probability of a certain event and its complement is ALWAYS equal to 1

This means that:

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

In the problem, we are given that P(A) = 0.35

Substitute in the above equation to get P'(A) as follows:

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

0.35 + P'(A) = 1

P'(A) = 1 - 0.35

P'(A) = 0.65

Hope this helps :)

Answer 2

0.65

Step-by-step explanation:

Complement of an event is defined as "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