Finite Math
Four fair six sided dice are rolled. Given that at least two of
the...
Finite Math
Four fair six sided dice are rolled. Given that at least two of
the dice land on an odd number, what is the probability that the
sum of the result of all four dice is equal to 14?
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?
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...
6 fair 12-sided dice are rolled.
(a)
[3 marks] Find the conditional probability that at least one
die lands on 3 given that all 6 dice land on different
numbers.
(b)
[2 marks] True or False: If X is the maximum of the 6
numbers from one roll, and Y is the minimum of the 6
numbers from one roll, then X and Y are
independent random variables.
(5) A fair 6-sided dice is rolled twice. The fairness of the
dice consists of the following facts: (i) no face of the dice is
likelier to be rolled than any other (so a roll of a 5 and a roll
of a 3 are equiprobable) and (ii) the dice has no “memory” - each
roll is independent of any other. 5.1:
What is the probability that you’ve first rolled a 3 and the
pair of rolls sums to something...
Two
six-sided dice are rolled and the sum is observed. Define events A
and B as follows:
Event A: The sum is odd.
Event B: The sum is less than 9.
Find P(A or B)
Please use formula P(A) + P(B) - P(A x B)
So I can understand how to use it. Thank you.
Three fair, six-sided dice colored red, green and blue are
rolled. Calculate each of the following probabilities: (a) The
probability all three dice show the same face (“triples”). (b) The
probability that the red die shows a larger number than the green
die. (c) The probability that the red die shows a larger number
than the green die and the green die shows a larger number than the
blue die. (d) The probability that the sum of the pips on...
Two six-sided dice are rolled. (Enter your probabilities as
fractions.)
(a) What is the probability that the sum of the numbers is
greater than eight? Correct: 5/18
(b) What is the probability that the sum of the numbers is
greater than eight, given that the first die is a 4???
(c) What is the probability that the first die shows a 4, given
that the sum of the numbers is greater than eight???
1. Three six-sided dice are rolled. Let X be the sum of the
dice. Determine the range of X and compute P(X = 18) and P(X ≤
4).
2. An urn contains 5 red balls and 3 green balls. (a) Draw 3 balls
with replacement. Let X be the number of red balls drawn. Determine
the range of X and compute P(X = 3) and P(X 6= 1). (b) Draw 3 balls
without replacement. Let Y be the number of...