Question

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is the probability that they will both occur?

Answer 1

25% should be the answer, let me kno if its correct

Answer 2

Answer: Probability that they will both occur is 25%.

Explanation:

Since we have given that

There are two non simultaneous events.

Probability of each event = 50%

Since both are independent to each other.

Let A and B be two events.

We need to find the probability that they will both occur i..e P(A∩B).

As we know the rule of independence of events:

`P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=0.5* 0.5\\\\P(A\cap B)=0.25\\\\P(A\cap B)=25\%\\`

Hence, Probability that they will both occur is 25%.