Question

20 points!!!!!

Allison spins a spinner that has 3 red spaces, 4 blue spaces, and 2 green spaces. If all the spaces have an equal chance of being selected, what is the probability that Allison will spin a green or a blue? Enter your answer as a fraction, in lowest terms, using the / symbol, like this: 42/53

Answer 1

2/3

there are a total of 3 + 4 + 2 = 9 spaces of which 2 are green and 4 are blue

P( green)=
`(2)/(9)` and P( blue) =
`(4)/(9)`

P( green or blue ) = P(green) + P(blue) =
`(2)/(9)` +
`(4)/(9)` =
`(6)/(9)` =
`(2)/(3)`