Question
In: Math
a pair of dice are rolled and if the sum is a 5, Derek gets a...
a pair of dice are rolled and if the sum is a 5, Derek gets a point; if the sum is a 6, Ker gets a point; if the sum is a 7, Gary gets a point. if the sum is some other value, no one gets a point.
(a)
if the dice are rolled until Gary gets 4 points, find the
probability Derek gets exactly 2 points.
(b)
if the dice are rolled until Gary gets 4 points, find the
probability that exactly 12 rolls are required.
(c)
If the dice are rolled until any one of the players gets a single
point, what is the probability the player getting the point is
Ker?
(d)
what is the expected number of rolls required before the first
point is given?
Solutions
milcah answered 1 year agoRelated Solutions
A pair of dice is rolled and the sum of the dice is recorded, determine the...
A pair of dice is rolled and the sum of the dice is recorded,
determine the probability that:
a) The sum is greater than 5 given the first dice is a 4.
b) The sum is greater than 9 given the second dice is a 6.
c)The sum is even given the second dice is a 4
d) The sum is odd given the first dice is a 3
e) A double is rolled given neither dice is a 4...
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and less
than 5 (b) odd or less than 5
A pair of dice are rolled find the following? the odds in favor of a sum...
A pair of dice are rolled find the following? the odds in favor
of a sum of 4 -the odds in favor a sum of 7 or 11 - the probability
of a product that is even and greater than 5
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and
doubles (b) odd or doubles
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.)
(a) 2
(b) 5
(c) 6
1. When a pair of balanced dice is rolled. Let A = {the sum of the...
1. When a pair of balanced dice is rolled. Let A = {the sum of
the dice is 10}, B = {doubles are rolled}. Find P(A), P(B).
2. Four couples are randomly sat in a row. How many different
ways possible if
(a) no restriction; (b) all men have to sit together and all
women have to sit together; (c) one of the couples have to sit
together.
3.Two events A and B are investigated. P(A) = 0.35, P(B) =...
suppose you rolled a pair of dice. what is the probability of not getting a sum...
suppose you rolled a pair of dice. what is the probability of
not getting a sum of 7 or 8?
A pair of dice are rolled 1,000 times with the following frequencies of outcomes: Sum 2...
A pair of dice are rolled 1,000 times with the following
frequencies of outcomes:
Sum
2
3
4
5
6
7
8
9
10
11
12
Frequency
10
30
50
70
110
150
170
140
120
80
70
Use these frequencies to calculate the approximate empirical
probabilities and odds for the events a. The sum is less than 3 or
greater than 9.
b. The sum is even or exactly divisible by...
A pair of dice are rolled. Let A be the event as “the first dice roll...
A pair of dice are rolled. Let A be the event as “the first dice
roll is 3” and event B as “the second dice roll is 4”. Let event C
be as “the sum of the dice rolls are 7.”
a) Show that A and B are independent, that A and C are
independent, and that B and C are independent.
b) Show that A, B, and C are not mutually independent.
A pair of dice is tossed. Calculate the variance of the sum of the dice? A)...
A pair of dice is tossed.
Calculate the variance of the sum of the dice?
A) 35/6
B) 37/6
C) 6
D) 19/3
E) 17/3
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