Answer: Probability that they will both occur is 25%.
Step-by-step 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\times 0.5\\\\P(A\cap B)=0.25\\\\P(A\cap B)=25\%\\](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28A%29.P%28B%29%5C%5C%5C%5CP%28A%5Ccap%20B%29%3D0.5%5Ctimes%200.5%5C%5C%5C%5CP%28A%5Ccap%20B%29%3D0.25%5C%5C%5C%5CP%28A%5Ccap%20B%29%3D25%5C%25%5C%5C)
Hence, Probability that they will both occur is 25%.