Question

from a well shuffled deck of 52 cards one card is drawn at random.. find the probability of getting:- 1.. a red card ? 2... a black card 3... red face cards.

Answer 1

Probability of getting a Red card = $\frac{Possible outcomes}{Total outcomes}$

= $\frac{26}{52}$

=
$\frac{1}{2}$

Probability of getting a Black card = $\frac{Possible outcomes}{Total outcomes}$

= $\frac{26}{52}$

=
$\frac{1}{2}$

Probability of getting a Face card = $\frac{Possible outcomes}{Total outcomes}$

= $\frac{8}{52}$

= $\frac{2}{13}$

Answer 2

Answer:

1)Probability(a red card)= $\frac{1}{2}$

2)Probability(a black card)= $\frac{1}{2}$

3)Probability(red face cards) $\frac{3}{26}$  

Step-by-step explanation:

Given : A well shuffled deck of 52 cards one card is drawn at random.

To find :

1) Probability of getting a Red card

Favorable outcome =(13 diamonds , 13 heart)= 26 cards

Total number of outcomes= 52 cards

Probability(a red card)=  $\frac{Favorable outcomes}{Total outcomes}$  

                   = $\frac{26}{52}$  

                  =  $\frac{1}{2}$  

2) Probability of getting a Black card

Favorable outcome =(13 club , 13 spade)= 26 cards

Total number of outcomes= 52 cards

Probability(a black card)=  $\frac{Favorable outcomes}{Total outcomes}$  

                   = $\frac{26}{52}$  

                  =  $\frac{1}{2}$    

3) Probability of getting a red face cards

Favorable outcome =(jack of diamond and heart, queen of diamond and heart, king of diamond and heart)=  6 cards

Total number of outcomes= 52 cards

Probability(red face cards)=  $\frac{Favorable outcomes}{Total outcomes}$  

                   = $\frac{6}{52}$  

                  =  $\frac{3}{26}$