Question

1. Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

2. A lottery game has balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number or a 10.

Answer #1

1. If two 6-sided dice are rolled,

Favorable sample points = {the sum of the two numbers on the dice > 10} = {the sum of the two numbers on the dice = 11, 12} = { (5,6),(6,5),(6,6) }

Total number of sample points = 6^{2} = 36

The probability that the sum of the two numbers on the dice will be greater than 10

2. Favorable sample points = {2,4,6,8,10,12,14,16,18}

Total number of sample points = 19

The probability that a randomly selected ball has an even number or a 10

= P( ball number = 2) + P(ball number = 4) + P(ball number = 6) + P(ball number = 8) + P(ball number = 10) + P(ball number = 12) + P( ball number = 14) + P(ball number = 16) + P(ball number = 18)

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?

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

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

A
standard pair of 6 sided dice is rolled. What is 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 10? Express your answer as a
fraction or a decimal number rounded to four decimal places.

Two six-sided dice are rolled and the sum of the roll is
taken.
a) Use a table to show the sample space.
b) Find the Probability and the Odds of each event. E: the sum
of the roll is even and greater then 6
P(E) = O(E) =
F: the sum of the roll is 7 or less that 4
P(F) = O(F) =

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

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...

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