One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a red face card.

Given:

One card is drawn from a well shuffled deck of 52 cards.

To do:

We have to find the probability of getting a red face 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 face cards(Kings, Queens, Jacks) $=3\times2=6$

Total number of favourable outcomes $=6$.

We know that,

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

Therefore,

Probability of getting a red face card$=\frac{6}{52}$

$=\frac{3}{26}$

The probability of getting a red face card is $\frac{3}{26}$.        

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

90 Views

Kickstart Your Career

Get certified by completing the course

Get Started