A card is drawn randomly from a standard 52 car deck find the probability of the given event

Question

The car drawn is 10

p(10) =

The car drawn is not 10

p(not 10) =

The card drawn as a face card (jack, queen, king)

p (face card) =

The car drawn is not a face card

p( not a face card) =

Answer 1

We already know the denominator, 52. In order to get all your answers you just have to find the numerator which depends on what they are asking for.

Instance 1- p(10)

there are only four sets of ten in a deck of cards, therefore, 4/52 is your answer.

Instance 2- p(not 10)

this only means what is the probability of getting anything but a 10. well, we know there are only four 10 cards in a deck therefore we subtract those 4 from the total of 52 to get 48. your probability would then be 48/52

Instance 3- p(face card)

Again, how many face cards are there? 12. Your probability is 12/52

Instance 4- p(not face card)

now we do the opposite. there are 12 face cards in a deck, we need the probability of anything but that so we subtract 12 from the total number of cards which is 52 and get 40. 40/52 is your probability.

Simplify and convert to decimals as needed but these are the concepts. I hope this helps!