Question

If two fair dice are rolled find the probabilities of
the following

1. sum greater than or equal to 9 given that the roll was a
double

2. a double given that the sum was strictly greater than 9

Answer #1

1. If 2 fair dice are rolled hence total of 36 sample outcome will appear

if we look at sum is 9 or grater than the no of outcomes are as10

sample space can be computed as

hence P(Sum=9 or more than 9)=10/36

Roll is double D1D2(Pair)= 6 times hence

P(Pair)=6/36=1/6

The intersection : sum= {55,66} hence P=2/36=1/18

hence according to question

P(sum|roll is double)=

=1/3=0.333

2).P(Double given that strictly greater than 9)

P(Double )=1/6 as calculated above.

P(Sum>9)= 6/36=1/6 as sample of Sum>9 is 6

again intersection =1/18

Now according to question

P(double | Sum>9) =

=0.333

Two fair dice are rolled. Find the following probabilities:
a) P(the sum of the dice is five)
b) P(the sum of the dice is not five)

If two fair dice are rolled, find the probability that the sum
of the dice is 7, given that the sum is greater than 6.

If two fair dices are rolled, find the probabilities of the
following;
a) A sum of 8 or a double(like 1−1,2−2, ect) ?

Two dice are rolled. Find the prob. of getting a sum greater
than 9 or a sum less than 4 or a sum of 7.

If two dice are rolled one time, find the probability
of getting a sum greater than or equal to 3

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...

if
two faire dice are rolled, find the probability that
a) the roll is a double given that the sum is less than
5
b) the roll is a double given that the sum is 11

If two fair dice are rolled, what is the probability that the
sum of the numbers rolled is greater than three?

Two fair dice are rolled and the sum rolled is recorded.
a. Find the probability that the sum is 4. b. Find the
probability that the sum is at least 4.
c. Find the probability that the sum is at most 4.

Two dice are rolled. Find the probability of getting a sum
greater 8 or less than 3. (please show work)
5/36
11/36
4/36
1/2

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago