Conditional probability

Two events A and B are said to be dependent when B Can occur only when A is known to have occurred only the probability attached to such an event is called the conditional probability.

Example- Find the probability of drawing a queen, a king and a knave in that order from a pack of cards in three consecutive draws the cards drawn not being replaced.

Solution- The probability of drawing a queen = 4/52

The probability of drawing a king after a queen has been drawn – 4/51

The probability of drawing a knave after queen and king have been drawn 4/50

Since they are dependent event the required probability of the compound events us

4/52 *4/51 *4/50 = 64/132600= 0.00048

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