Question

1. a pair of fair dice is rolled. if the sum of the spots is 7,
determine the probability that one die showed a 2

2.what is the probability of rolling a sum of seven with a pair of fair dice if one of them shows a five

Answer #1

If
a pair of dice is rolled, what is the probability of a) rolling a
sum of 8, b) rolling a sum of 3 or rolling a sum of 6, c) rolling a
sum of 4 or rolling doubles, if a pair of dice is rolled twice,
whatnis the probability of d) rolling a sum of 9 on the first roll
and rolling a sum of 2 on the second roll

1.) Suppose a pair of dice are rolled. Consider the sum of the
numbers on the top of the dice and find the probabilities. (Enter
the probabilities as fractions.)
(a) 5, given that the sum is odd
(b) odd, given that a 5 was rolled
2.) Suppose a pair of dice are rolled. Consider the sum of the
numbers on the top of the dice and find the probabilities. (Enter
the probabilities as fractions.)
(a) 8, given that exactly one...

A specially made pair of dice has only one- and two-spots on
the faces. One of the dice has three faces with a one-spot and
three faces with a two-spot. The other die has two faces with a
one-spot and four faces with a two-spot. One of the dice is
selected at random and then rolled six times. If a two-spot shows
up four times, what is the probability that it is the die with the
three two-spots?
The probability...

1) An experiment consists
of throwing two six-sided dice and observing the number of spots on
the upper faces. Determine the probability that
a.
the sum of the spots is 3.
b.
each die shows four or more spots.
c.
the sum of the spots is not 3.
d.
neither a one nor a six appear on each die.
e.
a pair of sixes appear.
f.
the sum of the spots is 7.

In Exercises 7−14, a pair of fair dice is rolled.
7. What is the size of the sample space?
8. What is the probability of getting “snake eyes” (two 1s)?
9. What is the probability of getting doubles (the same number
on each die)?
10. What is the probability of getting a 1 on at least one
die?
11. What is the probability of getting a total of 7 on the two
dice?
12. What is the probability of getting...

A specially made pair of dice has only one- and two-spots on
the faces. One of the dice has three faces with a one-spot and
three faces with a two-spot. The other die has two faces with a
one-spot and four faces with a two-spot. One of the dice is
selected at random and then rolled six times. If a one-spot shows
up three times what is the probability that it is the die with the
three one-spots?

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

Give the probability of rolling a pair of fair dice such
that:
a. both dice come up odd.
b. at least one die comes up odd.
c. exactly one die comes up odd.
d. the sum of the dice is odd.

Two fair dice are rolled.
(a) Find the conditional probability doubles are rolled, given
the sum is eight.
(b) Find the conditional probability the sum is eight, given
doubles are rolled.
(c) Find the probability at least one die lands on six.
(d) Find the conditional probability at least one die lands on
six, given that doubles are not rolled.

If six fair dice are rolled,
a. On average, what is the sum of the number of spots showing on
top of the 6 dice?
b. What is the probability that all the dice show only ones and
sixes (in any proportion)?

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