Probability

In a binomial distribution, the mean is 4 and variance is 3 . Then, its mode is

The probability of getting 10 in a single throw of three fair dice is

The probability that certain electronic component fails when first used is 0.10 . If it does not fail immediately, the probability that it lasts for one year is 0.99 . The probability that a new component will last for…

For two events A and B , if $\mathrm{P}(\mathrm{A})=\mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)=\frac{1}{4}$ and $P\left(\frac{B}{A}\right)=\frac{1}{2}$, then which of the following is not true?

A book contains 1000 pages. A page is chosen at random. The probability that the sum of the digits of the marked number on the page is equal to 9 , is

If $\mathrm{E}$ and $\mathrm{F}$ are events such that $0 < \mathrm{P}(\mathrm{F}) < 1$, then

A coin is tossed twice. Then, the probability that atleast one tail occurs is

If $A$ and $B$ are mutually exclusive events and if $\mathrm{P}(\mathrm{B})=\frac{1}{3}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{13}{21}$, then $\mathrm{P}(\mathrm{A})$ is equal to

If $\mathrm{P}(\mathrm{B})=\frac{3}{5}, \mathrm{P}(\mathrm{A} \mid \mathrm{B})=\frac{1}{2}$ and $\mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{4}{5}$, then $\mathrm{P}(\mathrm{A} \cup…

Bag $P$ contains 6 red and 4 blue balls and bag $Q$ contains 5 red and 6 blue balls. A ball is transferred from bag $P$ to bag $Q$ and then a ball is drawn from bag $Q$. What is the probability that the ball drawn is…

The probability that a card drawn from a pack of 52 cards will be a diamond or king is:

The probability of getting sum more than 7 when a pair of dice are thrown is: