Suppose that a die (with faces marked $1$ to $6$) is loaded in such a manner that for $K = 1, 2, 3…., 6$, the probability of the face marked $K$ turning up when die is tossed is proportional to $K$. The probability of the event that the outcome of a toss of the die will be an even number is equal to
$\frac{1}{2}$
$\frac{4}{7}$
$\frac{2}{5}$
$\frac{1}{{21}}$
Two persons each make a single throw with a die. The probability they get equal value is ${p_1}$. Four persons each make a single throw and probability of three being equal is ${p_2}$, then
Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.
A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?
Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space.