Shannon is making her daily protein smoothie She has several

Shannon is making her daily protein smoothie. She has several options for her smoothie ingredients:
Fruit: strawberry, banana, blueberry, mango, pineapple, peach
Vegetable: spinach, kale, carrot, tomato
Milk: whole, almond, soy
Protein powder: vanilla, chocolate, strawberry
She will decide upon one fruit, vegetable, milk, and protein powder choice for her smoothie. Assume that all
choices are equally likely.

f) Knowing that Shannon chooses a pineapple-spinach smoothie, find the probability it also contains
almond milk.

Solution

No of fruits = 6

No of vegetables = 4

No of milk varieties = 3

No of protein powder = 3

Hence total no of combination for smootheir = 24(9)

= 216

f) P(almond milk/pineapple spinach)

= P(almond milk, pineapple and spinach)/P(pineapple and spinach)

EAch event is independent

Hence P(almond milk/pineapple spinach)

= P(almond milk, pineapple and spinach)/P(pineapple and spinach)

= P(almond milk from 3 milks)

= 1/3