Question

Trevor just received a jar of mixed nuts containing 325 almonds, 250 pistachios, 75 cashews, and 350 pecans for his birthday. He's going to start randomly choosing some nuts from the jar, and he's not going to do anything that would favor him choosing any particular type of nut over another. Let's use this information to calculate some probabilities. (4 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point)

What is the probability that the first nut Trevor chooses is a pecan?








Part II: What is the probability that the first nut Trevor chooses is an almond or a cashew?

Answer 1

The questions require that we know the total number of nuts in the jar. That number is
325 +250 +75 +350 = 1000

Part I.
The probability of choosing a pecan at random is
(# of pecans)/(total # of nuts) = 350/1000 = 0.35

Part II.
The probability of choosing an almond or cashew is
(# of almonds or cashews)/(total # of nuts) = (325 +75)/1000 = 0.40