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: 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:
\(P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=0.5\times 0.5\\\\P(A\cap B)=0.25\\\\P(A\cap B)=25\%\\\)
Hence, Probability that they will both occur is 25%.