Probability

18 Points are indicated on the perimeter of a triangle $\mathrm{ABC}$ as shown below. If three points are chosen then probability that it will from a triangle is

From a lot of 20 items containing 4 defective items, 2 items are drawn at random. If $X$ denotes the number of defective items, then find the mean of the probability distribution of $X$.

A random variable $X$ has the following probability distribution : Find the (c)(d)f. of $X$

A random variable X with probability distribution is given below $X = x_i$2345$P(X = x_i)$$\dfrac{5}{k}$$\dfrac{7}{k}$$\dfrac{9}{k}$$\dfrac{11}{k}$

The probability distribution of a discrete random variable X is given as X1242A3A5AP(X)$\dfrac{1}{2}$$\dfrac{1}{5}$$\dfrac{3}{25}$K$\dfrac{1}{25}$$\dfrac{1}{25}$ $\text { Then the value of } A \text { if } E(X)=2.94…

A coffee roaster has 12 rare coffee beans with intensity scores ranked from 1 (mildest) to 12 (strongest). You choose 7 beans at random and line them up from mildest to strongest: C_1 exactly 4?

Advika chooses one of three scarves every morning: Red, Blue, or Green. $\bullet$ The probability she chooses Red is 20%. $\bullet$ The probability she chooses Blue is twice the probability of choosing Red. $\bullet$ On…

$25%$ of the population are smokers. A smoker has $27$ times more chances to develop lung cancer then a non-smoker. A person is diagnosed with lung cancer and the probability that this person is a smoker is…

The probability distribution of random variable $X$ is given by: $X$ $1$ $2$ $3$ $4$ $5$ $P(X)$ $K$ $2K$ $2K$ $3K$ $K$ Let $p=P(1<X<4\mid\,X<3)$. If $5p=\lambda\,K$, then $\lambda\,$ is equal to

A fair coin is tossed $n-$times such that the probability of getting at least one head is at least $0.9.$Then the minimum value of $n$ is _______?

If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is strictly greater than 7?

A coin is tossed twice. If $E$ and $F$ denote occurrence of head on first toss and second toss respectively, then what is $P(E \cup F)$ equal to?