A spinner is divided into four equal sections that are numbered 2, 3, 4, and 9. The spinner is spun twice.

How many outcomes have a product less than 20 and contain at least one even number?

- 6
- 8
- 10
- 12

adore.nuk Feb 6, 2018

#1**+2 **

{ 2, 3, 4 ,9 }

Possible outcomes = [ P(4,2) + 4 ] = [12 + 4] = 16

It may be easier to look at the possibilities that * don't* work

9 paired with itself, 4 or 3 are not favorable outcomes

So....this is 5 unfavorable outcomes (9,9), (9,4), (4, 9), (9,3), (3,9)

3 paired with itself is also unfavorable

So....this is 6 unfavorable outcomes

So....there are 10 favorable outcomes

(2,2) (2,3) (3,2) (2,4) (4,2) (2,9, (9,2), (3,4) (4,3) (4,4)

CPhill Feb 6, 2018