Question

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.

Answer #1

**Solution:**

total number of possibilities while rolling two dies = 6 * 6 = 36

number of possibilities of getting greater than 9 = 6

they are :

(4,6),(6,4),(5,5),(6,5,),(5,6),(6,6)

number of possibilities of getting less than 4 = 3

they are :

(1,1),(1,2),(2,1)

number of possibilities of getting 7 =6

they are ,

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

total number of possibilities of getting a sum greater than 9 or a sum less than 4 or a sum of 7 = 6+3+6

= 15

probability of getting a sum greater than 9 or a sum less than 4
or a sum of 7.= 15 / 36 = **0.4166**

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

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

Rolling Two Dice When two dice are rolled, ﬁnd the probability
of getting: a. A sum of 4 or 8 b. A sum greater than 8 c. A sum
less than 4 or greater than 10 d. A sum that is greater than or
equal to 5 e. A sum of 13 f. A sum less than 7

Two
dice rolled. What is the probability of obtaining a sum greater
than 9, but less than 13?

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

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.

Two dice are rolled simultaneously. Determine the probability of
getting: (1).at least one 4; (2) a sum greater than 9; (3) a sum of
7 or 11

Two
dice are rolled. Find the probability of getting the following
results. Enter your answers as fractions or as decimals rounded to
3 decimal places.
a) P(sum greater than 8 or less than 6)

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 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) =

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