Two fair six sided dice are rolled.
(i) What is the probability that the smaller value of the two
results is 3 given that the sum of the two results is 8?
(ii) What is the probability that the sum of the two results is
at most 5 given that the number 2 appeared at least once?
(iii) What is the probability that the sum of the two results is
7 given that exactly one of the two results is...
7. Two fair six sided dice are rolled.
(i) What is the probability that the sum of the two results is
6?
(ii) What is the probability that the larger value of the two
results is 4?
(iii) What is the probability that the both results are at most
4?
(iv) What is the probability that the number 3 appears at least
once?
Alice rolls a pair of fair six-sided dice until a sum of 6
appears for the first time. Independently, Bob rolls two fair
six-sided dice until he rolls a sum 7 for the first time. Find the
probability that the number of times Alice rolls her dice is equal
to or within one of the number of times Bob rolls his dice.
Two ordinary fair, six-sided dice ate rolled.
What is the probability the sum of the numbers on the two dice is
6, given that the number on at least one of the dice is 3?
What is the probability the sum of the numbers on the two dice is
8, given that the number on at least one of the dice is 3?
What is the probability that the sum of the numbers on the two dice
is 9, given...
Consider rolling two regular, fair, 6-sided dice 10 times. What
is the probability that
at least two of the rolls have a sum that exceeds 6.
at least 7 of the rolls have a sum that is even.
exactly three rolls have a sum equaling 5.
a) A pair of fair dice is thrown. What is the probability of
rolling a value between 8 and 11, inclusive? (Write your answer as
a decimal rounded to 3 decimal places.)
b) What is the probability of drawing a black face card when a
single card is randomly drawn from a standard deck of 52 cards?
(Write your answer as a decimal rounded to 3 decimal places.)