Recent questions tagged probability

Two fair six-sided dice, with sides numbered $1$ to $6$ , are thrown once. The probability of getting $7$ as the sum of the numbers on the top side of the dice is $\_\_\_...

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The probability that at least two chocolates are iden...

In pea plants, purple color of flowers is determined by the dominant allele while white color is determined by the recessive allele. A genetic cross between two purple fl...

A normal random variable has mean equal to $0$, and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater th...

For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________

In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$. The average time between successive occurrenc...

$10\%$ of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV i...

If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$

In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are...

One percent of the cars manufactured by a company are defective. What is the probability (upto four decimals) that more than two cars are defective, if $100$ cars are pro...

An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40 \%$ of the shock absorbers. All shock absor...

A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is$1/4$...

The probability distribution for a discrete random variable $X$ is given below. $$\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0...

The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________

Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads?$0.56$$...