Question

Using the tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles

A) 3
B) 1/3
C) 1/2
D) 3/7

Answer 1

D

Answer: the answer is (D)
Explication

Answer 2

The probability of using sprinkles is 1/2. Hence, correct option is (C)

Since all the options are equally likely : The probability of choosing each topping can be calculated thus :

Types of topping = {Nuts , Sprinkles, Nuts , Sprinkles, Nuts , Sprinkles} (number of total possible outcomes) = 6

Number of favorable outcomes = {sprinkles}

P(sprinkles) = Number of favorable outcomes / Number of total possible outcomes

P(sprinkles) = 3/6 = 1/2

Hence, probability of using sprinkles is 1/2.