Given two events A and B. If odds against A are as 2 : 1 and those in favor of A `uu` B are as 3 : 1, then find the range of P(B).

Given two events Aa n dB . If odds against A are as 2:1 and those in favour of AuuB are 3:1, then find the range of P(B)dot

If two events A and B are such that P (barA) = 3/10 and P(A nn barB) = 1/2 , then P(A nn B) is

If two events A and B are independent such that P(A) = 0.35 and P(A uu B) = 0.6 , then P(B) is

The probability of an event A occurring is 0.5 and B occurring is 0.3. If A and B are mutually exclusive events, then find the probability of (i) P(A uu B)" " (ii) P(A nn barB)" " (iii) P(barA nn B) .

If for two events A and B, P(A) = 3/4, P(B) = 2/5 and A uu B = S (sample space), find the conditional probability P(A/B).

The odds against a certain event are 5 to 2, and the odds in favor of another event independent of the former are 6 to 5. Find the chance that one at least of the events will happen.

There are three events A, B and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is

Let A and B be any two events such that P(A) = (1)/(2) and P(B) = (1)/(3) . Then find the value of P(A' nn B')' + P(A' uu B')' .