Question

three cards are drawn from an ordinary deck of 52 cards. each card is replaced in the deck before the next card is drawn. what is the probability that at least one of the cards was a spade

Answer 1

Ok first how many spades are in a deck of cards

Answer 2

13

Answer 3

52C3

Answer 4

soo divde 52 cards by 13 cards

Answer 5

what do i put in the numerator?

Answer 6

it says at least 1 spade so im confused

Answer 7

round it to the nearest whole number

Answer 8

P = 1 - P(no spade cards)

Answer 9

im so confused now lol

Answer 10

at least 1 spade card means P(1 spade) + P(2 spades) + P(3 spades). If you do this way, you'd have to calculate 3 times. But instead, just calculate the complement and subtract from 1

Answer 11

wont i get a negative number if i subtract from 1?

Answer 12

No, you won't

Answer 13

what

Answer 14

what would you get if you do P(no spade cards) ?

Answer 15

39/52

Answer 16

oh i have to subtract the fraction

Answer 17

1-(39/52)=1/4

Answer 18

you are drawing 3 cards, not 1 card

Answer 19

1 - (39/52)^3