There are 10 cranberry and 15 strawberry juices. you randomly pick two juices. what's the probability you'll get two strawberry juices.

Explanation:

The theoretical probability, P (A), of an event, A, is:

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

The total number of possible outcomes is:

Thus, the probability of randomly picking two strawberry juices is:

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)