Compound probability word problems

The question

What is the probability of getting an even number and an odd-numbered section? Give your answer in simplest form.

Someone rolled a number cube, then spun a spinner with 4 equal sections numbered 1 to 4.
× =
  1. Read it through. Two things happen, and both must go your way. Work out each chance on its own first.
  2. The first one: 3 of the 6 are what you want, so .
  3. The second one: . The first turn does not change it.
  4. For both, multiply: × = . It is smaller, because both is harder than either one.

How it works.

  1. 01

    Read it through. Two things happen, and both must go your way. Work out each chance on its own first.

  2. 02

    The first one: 3 of the 6 are what you want, so 3/6.

  3. 03

    The second one: 2/4. The first turn does not change it.

  4. 04

    For both, multiply: 3/6 × 2/4 = 1/4. It is smaller, because both is harder than either one.