P&C and Probability Combined

In a certain race there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1 , then find the probability of each boy.

What happens to the probability of finding an electron in the MO's after the combination of two AO's ?

Let A, B, C be 3 independent events such that P(A)=1/3,P(B)=1/2,P(C)=1/4 . Then find the probability of exactly 2 events occurring out of 3 events.

Fill in the blanks . (i) Probability of an impossible event= …….. (ii) Probability of a sure event = …… (iii) Let E be the event . Then , P(not E) = ……. (iv) P(E) + P(not E) = ……. . (v) ………. le P(E) le ……. .

Let A and B be two independent events.The probability of their simultaneous occurrence is 1/8 and the probability that neither occurs is 3/8. Find P(A) and P(B) .

The following Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections. Determine (a) P(A) (b) P(B nn barC) (c ) P(A uu B) (d) P(A nn barB) (e) P(B nn C) (f) Probability of the event that exactly one of A, B, and C occurs.

The accompanying Venn diagram shows three events, A, B and C and also the probabilities of the various intersections ["for instance", P (AcupB)=0.7]. Determine (i) P (A) (ii) P (Bcapoverset(-)C) (iii) P (AcupB) (iv) P (Acapoverset(-)B) (v) P (BcapC) (vi) Probability of exactly one of the three occurs.

If P(A) denotes the probability of an event, then

The probability of ‘n’ independent events are P_(1) , P_(2) , P_(3) ……., P_(n) . Find an expression for probability that at least one of the events will happen.