Hello, mdenham2!

1) There are 3 boxes containing letters: .

a) From box 1, three letters are drawn one-by-one without replacement.

What is the probability that the outcome is ?

I did: . . . . Is this correct? . . Yes!

The box is chosen at random: .b) If a box is chosen at random and then a letter is drawn at random from the box,

what is the probability that the outcome is ?

From box 1,

. . Hence: .

From box 2,

.Hence: .

From box 3,

. . Hence: .

Therefore: .

2) Box 1: [2 black balls & 3 white balls]

. . Box 2: [4 black balls & 2 white balls]

A ball is drawn at random from box 1, then at random from box 2.

a) The probability of 2 whites.

I did: . . . . Is this correct? . Yes!

The opposite of "at least one black" is "b) The probability of at least one black.blacks" (both white).no

You found: .in part (a).

Therefore: .

The opposite of "at most one black" is "c) The probability of at most one black.black".both

Therefore: .

They are expectingd) The probability of a black followed by a white, or a white followed by a black.

I did : . . . . Is this correct? . Um, not quite ...one.answer

With an "or" statement, wethe probabilties.add

Therefore: .

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Here's an alternate approach to part (d).

We want: .

In part (a), we found that: .

In part (c), we found that: .

. . Hence: .

Therefore: .