Posted by **Ana** on Friday, May 11, 2012 at 10:14pm.

If two number cubes are tossed, what is the probability of getting a sum that is less than 6, given that 1 number cube shows a 3 ?

- Math -
**MathMate**, Friday, May 11, 2012 at 10:34pm
Assuming 6-sided number cubes.

Let the events

A=throwing less than 6

B=one of them is a three

Then P(A∩B)

=|{(1,3),(2,3),(3,1),(3,2)}| / 36

= 1/9

P(B)

=2/6

=1/3

Throwing less than six given one of them is a 3 is therefore the conditional probability of A given B, or

P(A|B)

=P(A∩B)/P(B)

=(1/9) /(1/3)

=1/3

## Answer this Question

## Related Questions

- Pre-Cal - a red number cube and a white number cube are rolled. Find the ...
- Simple Math - Two eight-sided number cubes are thrown. Given that one of the ...
- Math, please help - Dennis will roll two number cubes once. Each cube is labeled...
- Simple math - Two standard number cubes are thrown. Given that one of the cubes ...
- Math - A six sided die is tossed. What is the probability that it shows a prime ...
- Probability - A number cube has six faces numbered 1 to 6. John tossed two ...
- math - two number cubes each with faces numbered 1 through 6, are tossed. What ...
- math Study guide - 1. The table shows the results of spinning a four-colored ...
- math - if you tossed two number cubes, what sum has the greatest probability of ...
- Probability - Two number cubes are rolled .both cubes are Labelled to 6. The ...