Question

Tia spins spinner a once and spinner b once what is the probability she will get green (blue and yellow or yellow and. Blue)?___

Answer 1

1/6

1) Since Tia spins spinner A once, and spins B once too, and each spinner has 4 sectors. Then we can write out:

2) The probability of getting green is the result of blue + yellow:

Note that the spinner B the yellow part is half of the spinner area. And the blue sector is equivalent to 1/6 if we trace two line on the second spinner.

`\begin{gathered} P(\text{blue A) =}(1)/(4) \\ P(\text{yellow B) =}(3)/(6)=(1)/(2) \\ \\ P(\text{BlueA and YellowB) =}(1)/(4)*(1)/(2)=(1)/(8) \\ P(\text{Yellow A and Blue B) =}(1)/(4)*(1)/(6)=(1)/(24) \end{gathered}`

Since the question is one or the other, then we can add both probabilities:

`P=(1)/(8)+(1)/(24)=(1)/(6)`

Hence, the answer is the probability of Tia getting green is 1/6