If two fair dice are​ rolled, find the probability that the sum of the dice is 9,given that the sum is greater than 4.

Q: Suppose a jar contains 13 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: We have total number of marbles in the jar = 13 red marbles + 36 blue marbles = 49. We can pull out…

Q: Suppose a jar contains 6 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Suppose a jar contains 12 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A pair of standard dice are rolled.  What is the probability that at least one die is a 5, given…

A:

Q: If seven coins are tossed simultaneously, find the probability that there will be at least six…

A: Givenseven coins are tosses simultneouslyn=7p=12   (probability of  getting…

Q: Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles = 15 Number of blue marbles = 19 Total number of marbles = 34

Q: If three coins are flipped, find the probability that exactly two heads turn up.

A: Solution: Consider S to be the sample space for the experiment and E to be the number of events…

Q: pair

A:

Q: Suppose a jar contains 18 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given,no.of red marbles=18no.of blue marbles=21Total no.of marbles=39

Q: Suppose a jar contains 5 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: if a single die is rolled, what is the probability of it rolling on a number less than 2

A:

Q: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

A:

Q: Suppose a jar contains 12 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: We have to find out given probabiity...

Q: If two dice are rolled one time, find the probability of getting a sum of 6

A: Given information: Number of dices rolled = 2 The probability of getting a sum of 6 has to be…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 7

A:

Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

A:

Q: A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What…

A: Given: Probability of heads (1 - p) = 0.50 Probability of success or tails (p) = 1 - 0.50…

Q: Suppose a jar contains 8 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Probability that first is red is 8/39.

Q: Suppose a jar contains 19 red marbles and 25 blue marbles. If you reach in the jar and pull out 2…

A: The Probability that both are red = 0.181

Q: Suppose a jar contains 6 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A:

Q: Suppose a jar contains 15 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: From the information, there are 15 red marbles and 21 blue marbles. Two marbles at random at the…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 1

A: We have to find sum

Q: Suppose a jar contains 19 red marbles and 38 blue marbles. If you reach in the jar and pull out 2…

A: Given that a jar contains 19 red marbles and 38 blue marbles.  Total marbles = 57 marbles

Q: If two dice are rolled, compute the probability of rolling doubles (both dice show the same number…

A: Given that, Two dice are rolled.

Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: If three cards are drawn from a deck, what is the probability that at least one of the cards will be…

A: select 3 card from deck of 52 card    there are 12 face cards in deck   P(atleast one face card…

Q: Suppose a jar contains 8 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: A jar contains 8 red marbles and 10 blue marbles, Total number of marbles in the jar= 8+10=18

Q: if a single 4 sides die is tossed once, find the probability of rolling a number greater than 2

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9​, given that the…

A:

Q: If two dice are rolled one time, find the probability of getting a sum less than 9.5

A: We want to find the probability

Q: If two dice are rolled, find the probability that neither die shows a 5 on it. Probability

A:

Q: A coin is loaded so that the probability of a head occurring on a single toss is 3/4. In five tosses…

A: The provided information are:

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: Suppose a jar contains 19 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose a jar contains 8 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, Red marbles in a jar = 8 Blue marbles in jar = 37 Total marbles = 8 +…

Q: Suppose a jar contains 5 red marbles and 20 blue marbles. If you reach in the jar and pull out 2…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Suppose a jar contains 19 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: It is given that, A jar contain 19 red marbles and 35 blue marbles. Thus total number of marbles in…

Q: Suppose a jar contains 20 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A:

Q: If two dice are rolled , find the probability that neither die shows a 2 on it . probability =

A: When two dice are rolled the total number of possible outcomes are 36.Here the question is to find…

Q: Suppose a jar contains 20 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given: Number of red marbles = 20 Number of blue marbles = 21

Q: Suppose a jar contains 6 red marbles and 38 blue marbles. If you reach in the jar and pull out 2…

A: HERE GIVEN , a jar contains 6 red marbles and 38 blue marbles  now 2 marbles are selected at same…

Q: Suppose you roll two six-sided die. What is the probability that the sum of the two die is at least…

A: Two fair dice are rolled. The total number of outcomes in the sample space be n(S) = 62 = 36. That…

Q: Suppose a jar contains 17 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: There are total (17+34)=51 marbles. We can pick any 2 marbles from 51 marbles in 51C2=1275 ways.…

Q: Suppose a jar contains 8 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Explanation of the answer is as follows

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: Given that the jar contains marbles of color; 11 red 10 blue Hence we have 11 + 10 = 21 marbles in…

Q: If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

A: We have a 12 sided fair die. It is rolled twice

Q: Suppose a jar contains 19 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given :   19 red marbles   11 blue marbles     Total marbles =19+11                             =30…

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9 given that the sum…

A: Given that the sum is greater than 6.  So the sample space for this is: (1,6) , (2,5) , (2,6) ,…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.