Respuesta :
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step 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 )
= [tex]\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )[/tex]
=[tex]=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}[/tex]
