Question

A
standard pair of 6 sided dice is rolled. What is the probability of
rolling a sum less than or equal to 6?

Answer #1

A standard pair of 6 sided dice is rolled.

Hence we get outccomes as :

{ (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

There are total 36 outcomes.

Number of outcomes which has sum less than o equal to 6 are

{ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3),(4,1), (4,2), (5,1) }

So this number is 15

Hence the probability of rolling a sum less than or equal to 6

A standard pair of six-sided dice is rolled. What is the
probability of rolling a sum less than or equal to 7? Express your
answer as a fraction or a decimal number rounded to four decimal
places.

A standard pair of six sided dice is rolled. what is the
probability of rolling a sum greater than 2?

A standard pair of six-sided dice is rolled. What is the
probability of rolling a sum less than 3? Express your answer as a
fraction or a decimal number rounded to four decimal places.

A standard pair of six-sided dice is rolled. What is the
probability of rolling a sum less than 10? Express your answer as a
fraction or a decimal number rounded to four decimal places.

A standard pair of six-sided dice is rolled. What is the
probability of rolling a sum greater than 3 ? Express your answer
as a decimal number rounded to three decimal places.

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

For the following questions, find the
probability using a standard 6-sided die or two 6-sided dice. Write
your answer as a fraction or with a colon in lowest terms.
Rolling a single die, what is the probability of rolling an
even number?
Rolling a single die, what is the probability of rolling a
5?
Rolling a single die, what is the probability of rolling a
7?
Rolling a single die, what is the probability of rolling a
number less than...

6. A pair of 10-sided, numbered 1 through 10, dice are rolled.
What is the probability that the sum of the two dice is:
a) 18
b) 19, given that a sum of 18 or more was rolled.

Imagine rolling two fair 6 sided dice. What is the probability
the number rolled on the first die is even or the sum of the rolls
is 10?

Two standard six-sided dice are rolled. Report all answers in
reduced form (or rounded to two decimal places if applicable). What
are the odds for rolling a sum of 7? What is the probability of
rolling a product that is odd? What are the odds against rolling a
sum less than 6?

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