A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
It is given that the box contains $1$ red ball and $3$ identical white balls. Let us denote the red ball with $R$ and a while ball with $W$.
When two balls are drawn at random in succession without replacement, the sample space is given by
$S =\{ RW , WR , WW \}$
Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
A bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. A bag and a ball out of it are picked at random. The probability that the ball is white, is
Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
Describe the events $B$ or $C$
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a diamond