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
$S =\{ RW , WR , WW \}$
The probability of India winning a test match against West Indies is $\frac{1}{2}$. Assuming independence from match to match, the probability that in a $5$ match series India's second win occurs at the third test, is
Three coins are tossed. Describe Two events which are mutually exclusive.
In each of the following experiments specify appropriate sample space A person is noting down the number of accidents along a busy highway during a year.
From $10,000$ lottery tickets numbered from $1$ to $10,000$, one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by $20$
On her vacations Veena visits four cities $(A,\,B ,\, C$ and $D$ ) in a random order. What is the probability that she visits $A$ first and $B$ last ?