Question

[NEED AN ANSWER NOW] Hannah spins a spinner once and then randomly selects a marble from a bag. A representation of the spinner and the bag of marbles is shown below.

She determines that the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble is 2/15. Which best describes the accuracy of Hannah’s answer?

Hannah’s answer is accurate.
Hannah’s answer is inaccurate. She may have correctly determined the probability of spinning a multiple of 3, but she considered the probability of randomly selecting a blue marble as 1/4 instead of 4/10.
Hannah’s answer is inaccurate. She may have correctly determined the probability of randomly selecting a blue marble, but she considered the probability of spinning a multiple of 3 as 1/6 instead of 2/6.
Hannah’s answer is inaccurate. The number of possible outcomes for the events is 60, not 15.

Answer 1

Hannah's answer is accurate

Answer 2

Hannah's answer is accurate

Explanation:

Hannah determines that the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble is 2/15.

Referring the given figure.

Total no. of balls = 10

No. of blue balls = 4

So, probability of getting blue ball =
`\frac{\text{Favorable outcomes}}{\text{total outcomes}}`

=
`(4)/(10)`

=
`(2)/(5)`

Now there are 6 numbers on spinner { 1,2,3,4,5,6}

Out of these 6 numbers, 2 numbers are multiples of 3 { 3,6}

So, probability of getting multiple of 3 on spinner =
`(2)/(6)`

=
`(1)/(3)`

Thus the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble :

=
`(2)/(5)*(1)/(3)`

=
`(2)/(15)`

Thus Option A is correct .

Hannah's answer is accurate