Suppose that M and S are two events such that; P(S)=4/32, P(MnS)==3/32 and P(MuS) = 25/32. evaluate P(M)
To evaluate the probability of event M (P(M)), we can use the formula for the probability of the union of two events:
P(MuS) = P(M) + P(S) - P(MnS)
Given that P(MuS) = 25/32 and P(S) = 4/32, we can substitute these values into the equation:
25/32 = P(M) + 4/32 - 3/32
Next, we simplify the equation:
25/32 = P(M) + 1/32
To isolate P(M), we subtract 1/32 from both sides:
25/32 - 1/32 = P(M)
This gives us:
24/32 = P(M)
Lastly, we simplify the fraction:
3/4 = P(M)
Therefore, the probability of event M (P(M)) is 3/4.