Question
In: Statistics and Probability
1 (a) A pair of dice is rolled, and the number that appears uppermost on each...
1 (a) A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. (Enter your answer as a fraction.)
The sum of the numbers is either 7 or 11.
(b) An experiment consists of selecting a card at random from a 52-card deck. Refer to this experiment and find the probability of the event. (Enter your answer as a fraction.)
A face card (i.e., a jack, queen, or king) is drawn.
(c) An experiment consists of selecting a card at random from a 52-card deck. Refer to this experiment and find the probability of the event. (Enter your answer as a fraction.)
A black face card is not drawn.
Solutions
orchestra 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...
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.
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) =...
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 fair dice are rolled once. Suppose that you lose $7 if the dice...
A pair of fair dice are rolled once. Suppose that you lose $7 if
the dice sum to 3 and win $12 if the dice sum to 4 or 12. How much
should you win or lose if any other sum turns up in order for the
game to be fair.
I got a negative answer and im not sure thats correct.
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
A gambler plays a dice game where a pair of fair dice are rolled one time...
A gambler plays a dice game where a pair of fair dice are rolled
one time and the sum is recorded. The gambler will continue to
place $2 bets that the sum is 6, 7, 8, or 9 until she has won 7 of
these bets. That is, each time the dice are rolled, she wins $2 if
the sum is 6, 7, 8, or 9 and she loses $2 each time the sum is not
6, 7, 8, or...
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