Question

At Baskin Robbins, you can choose between the flavors (vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip), the number of scoops (1, 2 or 3), and if you want it in a cone or a cup. What is the probability of someone choosing cookies 'n cream ice cream with 2 scoops?

Answer 1

`(1)/(18)`

Explanation:

Given:

Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.

Number of scoops can be 1, 2 or 3.

To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops

Solution:

Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.

For such events,

P(A and B)= P(A)×P(B)

Probability = number of favourable outcomes/Total number of outcomes

In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.

Therefore,

probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )

=
`\left ( (1)/(6) \right )\left ( (1)/(3) \right )\left ( (1)/(2) \right )+\left ( (1)/(6) \right )\left ( (1)/(3) \right )\left ( (1)/(2) \right )`

=
`=(1)/(36)+(1)/(36)\\=(2)/(36)\\=(1)/(18)`