Answer:
Not sufficient information
Step-by-step explanation:
Probability of white ball: P(W)
Probability of even number: P(E)
Probability of white ball or even number: P(W∨E) is asked
Considering case (1):
Probability of white ball and even number: P(W∧E) = 0
And we know that,
P(W∨E) = P(W) + P(E) - P(W∧E) = P(W) + P(E) - 0 = P(W) + P(E)
It is not sufficient to calculate the desired probability.
Considering case (2):
P(W) - P(E) = 0.2
Here, it is possible for P(W) and P(E) to get multiply values.
So P(W∨E) cannot be determined.
Considering cases (1) & (2):
P(W∧E) = 0 and P(W) - P(E) = 0.2
So, P(W∨E) = P(W) + P(E) = P(E) + 0.2 + P(E) = 2P(E) + 0.2
Again multiple answers are possible.
Such as, for P(E) = 0.4 (10 even balls) ⇒ P(W∨E) = 1
but for P(E) = 0.2 (5 even balls) ⇒ P(W∨E) = 0.6
So, the information are not sufficient.
