In a game, a man wins Rs. 5 for getting a number greater than 4 and loses Rs. 1 otherwise, when a fair dice is thrown. The man decided to throw a die thrice but to quit as and when he gets a number greater than 4. The expected value of the amount(in Rs.) he wins or loses is:

A die is thrown thrice. If the first throw is a four, then the chance of getting 11 as total sum, 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:

If E and F are two events such that $P(E \cup F)=P(E)$, then

A pair of dice is thrown. If the two numbers appearing on them are different then the probability that the sum of the number is 6, is.

A random variable X has the following probability distribution:

Then the value of $\frac{k}{4}$ is:

A farmer has a tubewell which works by connecting two switches $S_1$ and $S_2$. The probability that $S_1$ works is 9/10 and the probability that $S_2$ works is 8/10. The farmer connects them in series in 30% cases and in parallel in 70% cases. If it is known that the tubewell was working, what is the probability that it was a series connection.