Question

A coin is tossed. If a head occurs, the coin is tossed again; otherwise, a die is tossed. On a piece of paper, list all the possible outcomes.

What is the probability of 4 or 5 occurring on the die?

What is the probability of two heads occurring?

Answer 1

You're being asked to draw a "tree diagram." Have you done one of those before, or have you seen one drawn in class, or discussed in your online materials?

Answer 2

I haven't seen one in my class yet:/

Answer 3

In that case, it may be too early for you to try this problem now.

Once you've learned enough about tree diagrams to be able to draw them on your own, they're fairly easy to draw. I will not be going through the whole procedure with you (unless you find and read material on tree diagrams in your textbook or online), but I'll help you get started by sketching the beginnings of a tree. If you first toss a coin, there are two possible outcomes: head or tail. If you get a head on the first toss, then you must toss the coin again, which could produce either a head or a tail. Here's what the tree dia. looks like at first: