Question

Two number cubes are rolled --one blue and one yellow. Find the probability that the yellow cube shows a multiple of 3, given that the product is 6.

Answer 1

@FibonacciChick666

Answer 2

tell me what you think

Answer 3

well there is 1 and 3 only so 2/6

Answer 4

wait,

Answer 5

first, how many ways can you get a product of 6?

Answer 6

name them

Answer 7

1x6
2x3
3x2
6x1

Answer 8

good now lwt's say the yelow cube is first, how many are divisible by 3?

Answer 9

and which are they

Answer 10

2 of them, 6 and 3

Answer 11

good so now,what is the probability of the occurrence of a multiple of three?

Answer 12

2/6

Answer 13

now, for the product to be six, how many ways can the second die go?

Answer 14

it can roll a 2 and a 1

Answer 15

so, that probability is?

Answer 16

2/6

Answer 17

so 4/36?

Answer 18

1/9?

Answer 19

wait no thats wrong

Answer 20

hm?

Answer 21

P(B|A) = 1/6
P(B|A) = 1/8
P(B|A) = 1/4
P(B|A) = 1/2

Answer 22

those are my options

Answer 23

how many ways are there to get a product of 6?

Answer 24

4

Answer 25

we are given that the product must be 6

Answer 26

so if there are 4 ways to get 6

Answer 27

the possible multiples for cube A are 3 and 6 therefore the probability is 2/6/. The product must be 6 therefore the second die has to roll a 2 or a 1 only

Answer 28

therefore2/6*2/6-4/36

Answer 29

yea, I agree... hmmm

Answer 30

if 4/36 is simplified then that mean 2/18 and then 1/9

Answer 31

this homework is a monster!!!!!!!!!!!!!

Answer 32

http://www.mathsisfun.com/data/probability-events-conditional.html

Answer 33

i think it should be something like 4/36*2/6*2/6 but I'm not sure

Answer 34

no non no so 2/6*2/4

Answer 35

1/6

Answer 36

yea