A coin is tossed four times. The probability of getting atleast 1 head before getting the first tail is

A letter is known to have come either from KOLKATA or TATANAGAR. On the envelope just two consecutive letters TA are visible. The probability that letter has come from TATANAGAR is

The probability that B alone complete the task on time is:

Three bags contain a number of red and white balls as follows:

Bag I: 3 red balls

Bag II: 2 red balls and 1 white ball

Bag III: 3 white balls

The probability that bag $i$ will be chosen, and a ball is selected from it is $\frac{i}{6}, i=1,2,3$. The probability that a red ball is selected is equal to:

A die is rolled. If the outcome is an odd number, then the probability that the number is prime, is:

A bag contains 4 balls. Let E be an event in which two balls are drawn at random and found to be white, then

Match List-I with List-II

Choose the correct answer from the options given below:

A and B are two independent events. The probability that both events A and B occur is $\frac{1}{6}$ and the probability that neither of them occur is $\frac{1}{3}$. If P(A) = x, P(B) = y then the value of x+y is.