Step-by-step explanation:

Given

Among 52 cards,there are 12 face cards.

To find:-

Probability that a card drawn at random is not a face card?

Solution:-

Method-1:-

Given that

Total number of cards ina DECK of PLAYING cards = 52

Total number of possible outcomes = 52

Number of face cards = 12

Remaining cards = 52-12 = 40

Number of favourable outcomes = 40

We know that

Probability of an event =

Sum of all OBSERVATIONS/ Number of all observations

Probability of getting a card is not a face card

=40/52

=10/13

Method-2:-

Given that

Total number of cards ina deck of playing cards = 52

Total number of possible outcomes = 52

Number of face cards = 12

We know that

Probability of an event=

Sum of all observations/ Number of all observations

Probability of getting a face card =

12/52

= 3/13

Now

Let the probability of getting a face card is P(E)

and not face card is P(not E) then

P(E)+P( not E) = 1

=> P( not E) = 1 - P(E)

=> P( not E) = 1-(3/13)

=> (13-3)/13

=> 10/13

Answer:-

Probability of getting not a face card is 10/13

Used formulae:-

• Probability of an event=

Sum of all observations/ Number of all observations

• P(E)+P( not E) = 1