Question

A
die is rolled twice. What is the probability of showing a 3 on both
rolls?

Answer #1

**Answer---->>**

A die is rolled twice. What is the probability of showing a 3 on
the first roll and an even number on the second roll?
Your answer is :

A die is rolled twice. What is the probability of showing a 5 on
the first roll and an even number on the second roll? Your answer
is :

A die is rolled twice. What is the probability of getting a sum
of 7 on the two rolls? Write your answer in decimal form rounded to
3 decimal places.

A die is rolled twice. What is the probability that the sum of
the faces is greater than 7, given that
(a) 2 appears on one side of the rolls
(b) first outcome was 4
(c) first outcome greater than 3

A 6-sided die rolled twice. Let E be the event "the first roll
is a 1" and F the event "the second roll is a 1".
Find the probability of showing a 1 on both rolls. Write your
answer as a reduced fraction.

A die is continuously rolled until the total sum of all rolls
exceeds 375. What is the probability that at least 120 rolls are
necessary?

A die is continuously rolled until the total sum of all rolls
exceeds 275. What is the probability that at least 75rolls are
necessary?

1) A fair die is rolled 10 times. Find an expression for the
probability that at least 3 rolls of the die end up with 5 dots on
top.
2) What is the expected number of dots that show on the top of
two fair dice when they are rolled?

Let's say you rolled a dice twice, and you got at least a 6.
What is the probability that the sum of both rolls is 9?

1) A 10-sided die is rolled infinitely many times. Let X be the
number of rolls up to and including the first roll that comes up 2.
What is Var(X)?
Answer: 90.0
2) A 14-sided die is rolled infinitely many times. Let X be the
sum of the first 75 rolls. What is Var(X)?
Answer: 1218.75
3) A 17-sided die is rolled infinitely many times. Let X be the
average of the first 61 die rolls. What is Var(X)?
Answer:...

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