Two number cubes are rolled for two separate events: a. All of the combinations of numbers on both cubes that give a sum less th
an 10. b. All combinations of numbers on both cubes that give a sumthat is a multiple of 3. In terms of a reduced fraction, find the conditional probability of B given that A occurs first.
All the possibilities of two numbers cubes are 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53 54 55 56 61 62 63 64 65 66 The probability that sum of the rolled cubes is less than 10 is P = 6/36
The probability that the sum of the rolled cubes is a multiple of 3 is P = 12/36
The conditional probability of B given that a occurs first is P = 6/36 (12/36) = 1/18
