A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a black card.

Given:

A card is drawn at random from a pack of 52 cards.

To do:

We have to find the probability that the card drawn is a black card.

Solution:

A pack of cards contains 52 cards of four suits and two colours red and black.

Four suits are named as spades, hearts, diamonds, and clubs.

Each suit consists of one ace, one king, one queen, one jack and 9 other cards numbered from 2 to 10.

This implies,

The total number of possible outcomes $n=52$.

Number of cards that are black cards $=26$

Total number of favourable outcomes $=26$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that the card drawn is a black card $=\frac{26}{52}$

$=\frac{1}{2}$

The probability that the card drawn is a black card is $\frac{1}{2}$.

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Updated on: 10-Oct-2022

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