Hello, m58!

We have:.2) A bag of chips has 10 chips in it: 1 sour cream and onion,

2 BBQ, 3 regular, and 4 low fat chips.

I pick 5 chips at random.

There are possible outcomes.

We want 2 BBQ and 3 Others.(a) How many picks are there with at least 2 BBQ chips

There are:. picks.

I will assume this means: "at least 2 BBQ chips and at least 1 RG chip".(b) at least 2 BBQ chips and 1 regular chip

We want:.2BBQ, 1 RG, and 2 Others.

ways.

There are three possible cases.(c) all 4 chips represented

1 SC, 1 BBQ, 1 RG, 2 LF:.

1 SC, 1 BBQ, 2 RG, 1 LF:.

1 SC, 2 BBQ, 1 RG, 1 LF:.

There are: . ways.

The opposite of "at most 3" is "more than 3" (all 4 chips).(d) at most 3 chips represented

In part (c), we found that: .

Therefore:. ways.

I started reasoning out the possible cases, then came the dawn!(e) at least 2 chips represented

Think about it . . .

It isto get five chips of the same type.impossible

Hence, we willget at least 2 types of chips.always

Answer:.