The question is in the description.

Question

There are cards in a box. Fifteen of these cards are red, the others are blue, and the rests are white cards. If the probability of drawing a blue card is 0.125 and the probability of drawing a white card is twice the probability of getting a blue card, how many cards are there in the box?

a. What is the probability of the red cards?

b. How many cards are there in the box?

c. How many white cards are in the box?

d. How many blue cards are in the box?

Answer 1

Answer 2

red=15, white=6, blue= 3, total cards = 15+6+3 = 24

Pr(blue) = 1/8, Pr(white)= 2x1/8 = 1/4, P(red)= 1-1/8-1/4 = 5/8 = .525 = 52.5% chance of red

Pr(blue) = blue/total = blue/24 = 1/8

blue = 24/8 = 3

white = total - red - blue = 24-15-3 = 24-18 = 6

Answer 3

prob draw blue card 0.125

prob draw white card is twice that or 0.25

prob draw red card must be 1 - 0.25 - 0.125 = 0.625

number red cards is 15

prob draw red card = number red cards/total cards

total cards = number red cards/prob draw red card

total cards = 15/ 0.625 = 24

prob white cards = number white cards/total cards

number white cards = prob white cards * total cards

number white cards = 0.25 * 24 = 6

number blue cards = 24 - 15 - 6 = 3