Question

You roll two fair dice. Calculate each probability.
a. P(doubles) b. P(sum of 7) c. P(sum of 11)

Answer 1

Answer:

Total Outcomes =36

Number of doubles =(1,1) , (2,2),(3,3),(4,4),(5,5),(6,6)

possible outcomes in this case =6

1) P( doubles) =(6/36)=(1/6)

next we can get sum of 7 when the dices will show

(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)

possible outcomes in this case =6

2)P(sum of 7) = (6/36)=(1/6)

we can get sum of 11 when the dice will show (5,6),(6,5)

possible outcomes in this case = 2

P(Sum of 11) = (2/36) =(1/18)