Probability Tes...

Out of $$2$$ men and $$3$$ women a team of two persons is to be formed such that there is exactly one man and one woman. Write the sample space of this  experiment, then the total no. of combinations of team possible are

One card is drawn from a pack of $$52$$ cards.The probability of getting a $$10$$ of black suit is

Two unbiased coins are tossed simultaneously. The probability of getting two heads

$$ P\left ( E \right )+P\left ( \bar{E} \right ) $$ is equal to

If A and B are two mutually exclusive and exhaustive events with $$P(B)=3P(A),$$ then what is the value of $$P(\overline{B})$$?

There are $$50$$ students in a class and their results is below:

If a student chosen at random out of the class (i.e., without any bias), find the probability that the student is not failing (i.e., the student passed the examination).

Choose the correct alternative for each of the following. If $$ \displaystyle P\left ( E_{1} \right )=\frac{1}{6} $$, $$ \displaystyle  P\left ( E_{2} \right )=\frac{1}{3} $$, $$ \displaystyle  P\left ( E_{3} \right )=\frac{1}{6} $$, where $$ E_{1} $$, $$ E_{2} $$, $$ E_{3} $$, $$ E_{4} $$ are elementary events of a random experiment, then P($$ E_{4} $$) is equal to

The probability of getting number 10 in a throw of a dice is ____.

In a simultaneous throw of two dice what is the probability of getting a doublet ?

Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.