A die is thrown, find the probability of following events: A number less than $6$ will appear,
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $E$ be the event of the occurrence of a number less than $6.$
Accordingly, $E =\{1,2,3,4,5\}$
$\therefore P(E)=\frac{\text { Number of outcomes favourableto } E}{\text { Total number of possible outcomes }}=\frac{n(E)}{n(S)}=\frac{5}{6}$
Let two fair dices $A$ and $B$ are thrown. Then the probability that number appears on dice $A$ is greater than number appears on dice $B$ is
Cards are drawn one by one without replacement from a pack of $52$ cards. The probability that $10$ cards will precede the first ace is
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From a pack of $52$ cards, two cards are drawn one by one without replacement. The probability that first drawn card is a king and second is a queen, is
Three coins are tossed. Describe Two events, which are not mutually exclusive.