A die is thrown, find the probability of following events: A number greater than or equal to $3$ will appear.
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $B$ be the event of the occurrence of a number greater than or equal to $3$ . Accordingly,
$B =\{3,4,5,6\}$
$\therefore P(B)=\frac{\text { Number of outcomes favourable to } B }{\text { Total number of possible outcomes }}=\frac{n(B)}{n(S)}=\frac{4}{6}=\frac{2}{3}$
A card is selected from a pack of $52$ cards. How many points are there in the sample space?
Choose a number $n$ uniformly at random from the set $\{1,2, \ldots, 100\}$. Choose one of the first seven days of the year $2014$ at random and consider $n$ consecutive days starting from the chosen day. What is the probability that among the chosen $n$ days, the number of Sundays is different from the number of Mondays?
In order to get at least once a head with probability $ \ge 0.9,$ the number of times a coin needs to be tossed is
Describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin.
A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace