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## What is the probability of rolling less than 4 with 2 dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

2 | 1/36 (2.778%) |

3 | 2/36 (5.556%) |

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

## What is the probability of obtaining a sum of 4 or less?

There are six faces for each of two dice, giving 36 possible outcomes. If the two dice are fair, each of 36 outcomes is equally likely. Three outcomes sum to 4: (1+3), (2+2) and (3+1). Probability of getting a sum of 4 on one toss of two dice is 3/36, or **1/12**.

## When two dice are rolled what is the probability that one die is a 4 Given that the sum of the two dies is 9?

The probability is 3+4+1 over 36. That’s **8/36**, simplified to 2/9.

## What is the probability of getting a sum less than 10?

since I wanted less than ten 1-(2/9) = **7/9** probability of getting less than 10.