Question

When you roll a pair of dice, there are several outcomes, as shown below:When rolling the dice, the outcome is expressed as a sum of the two dice. Forexample, if after you rolled the dice and one die was a 3 and the other was a 4. youwill have rolled a 7.Select all of the TRUE statements below. There may be more than one.5:The probability of rolling the same digit with each die is 1/4The odds in favour of rolling a 10 is 1:13The odds against rolling a number less than 7 is 7:5.

Answer 1

Lets imagine that our dices are colored, one white and other black, this will help us to understand our problem.

When we roll the dices, we can have 36 outcomes, because for the white dice we can have the numbers from 1 to 6 and the same for the black dice.

Lets see the probability to both dice roll the same numbers, we can have the followed results: