Question

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is How many Starburst are in the bucket?

Answer 1

Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18