Question

You roll a pair of fair dice 20 times. Each time, the sum of the two dice values is recorded. What is the probability that you will roll an 7 (the sum of the two dice values = 7) at least (5) times? Assuming that each roll of the dice is independent

Answer #1

Please follow the comment.
2. Roll two fair dice repeatedly. If the sum is ≥ 10, then you
win.
(a) What is the probability that you start by winning 3 times in
a row?
(b)What is the probability that after rolling the pair of dice 5
times you win exactly 3 times?
(c) What is the probability that the first time you win is
before the tenth roll (of the pair), but after the fifth?

roll a pair of fair dice and at least one of the dice is a
six.
without any further information to go on, what is the
conditional probability that the sum of the dice is 8? Is the event
that “sum is 8” independent from the event that “at least one of
the dice is a six”?

Problem:
Roll a pair of fair dice. Find the probability that:
a) On an individual roll, the sum is 5 or 11.
b) The first time that you roll a sum of 5 or 11 is on your 7th
roll.
c) The 3rd time you roll a sum of 5 or 5 is on your 7th
roll.
Solutions from back of textbook:
a) 0.1667
b) 5.58%
c) 3.35%

If you roll a pair of fair dice, what is the probability of : a)
getting a sum of 2? b) getting a sum of 8? c) getting a sum of
13?

A pair
of dice is rolled 20 times. What is the probability that a sum of 5
is rolled
a)
exactly 6 times
b) at
least 4 times

We roll 2 fair dice 3 times, and each time we add up the two
outcomes. Thus we have 3 sums (each sum is between 2 and 12). What
is the probability that we always have the same sum?

We roll 2 fair dice 3 times, and each time we add up the two
outcomes. Thus we have 3 sums (each sum is between 2 and 12). What
is the probability that we always have the same sum?

You roll a pair of dice 360 times, and the sum of 12 appears 8
times. Does this show that the dice are unfair? Justify
mathematically and explain.

you roll a fair pair od dice. Find the following.
a.)sum of five or seven
b.)sum of ten
c.)a one on both die at the same time
d.) sum of six or an even number

Suppose you roll a pair of six-sided dice.
What is the probability that the sum of the numbers on your dice is
at least 9?

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