Question
In: Math
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) = 0.72, the percent of chance that at least one of the event A or B occur is 90%. What is the probability that only one of the events happens
Solutions
milcah answered 1 year agoRelated Solutions
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
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
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...
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...
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 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
1. Three six-sided dice are rolled. Let X be the sum of the dice. Determine the...
1. Three six-sided dice are rolled. Let X be the sum of the
dice. Determine the range of X and compute P(X = 18) and P(X ≤
4).
2. An urn contains 5 red balls and 3 green balls. (a) Draw 3 balls
with replacement. Let X be the number of red balls drawn. Determine
the range of X and compute P(X = 3) and P(X 6= 1). (b) Draw 3 balls
without replacement. Let Y be the number of...
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?
2. Three fair dice are rolled. Let X be the sum of the 3 dice. (a)...
2. Three fair dice are rolled. Let X be the sum of the 3
dice.
(a) What is the range of values that X can have?
(b) Find the probabilities of the values occuring in part (a);
that is, P(X = k) for each k in part (a). (Make a table.)
3. Let X denote the difference between the number of heads and
the number of tails obtained when a coin is tossed n times.
(a) What are the possible...
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