A pair of balanced dice is rolled once and the numbers on the top of the dice are observed. a. Probability that the sum of numbers on the tops of the dice is 9 is_ b. Probability that the numbers on the top of the dice are not the same is c. Probability that the 2nd number in the pair is smaller than the 1st number is

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: A couple has 4 children. Write out the sample space of genders fort heir children, inorder of birth.…

A: It was stated that a couple has 4 children. The possible gender for each child is either male or…

Q: Make a comment on the probabilities as the number of die increases.

A: Number of die increases in the sense we are assuming in place of 1 die we need to use multiple dies…

Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: A box1 contains 9 red and 6 black balls. Another box2 contains 4 red and 5 black balls. One ball is…

A:

Q: There are 250 brunet, 200 blond, 150 brown-haired, and 80 red-haired people. Find the probability…

A: Solution

Q: You get a box of twelve chocolates, of three kinds: six Plain, four Coconut, and two Cashew. Draw…

A: Distribution of chocolates is given as, Plain Chocolates=6Coconut Chocolates=4Cashew…

Q: A bag contains 7 red chips and 10 blue chips. Two chips are selected randomly without replacement…

A: we have 7 red chips, 10 blue chipstwo chips are selected randomly without replacement from the bag =…

Q: A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater…

A: A coin is tossed and a die is rolled. Chances of getting a tail or head are equally likely P(Tail) =…

Q: The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is…

A:

Q: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the…

A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)=…

Q: ability of getting "six" at

A:

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: jar contains 7 red marbles, 8 green marbles, and 4 blue marbles. What is the probability that you…

A:

Q: probability

A: According to the given problem, nB=4nY=2nR=6 The experiment is to draw a ball randomly from the bag.…

Q: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

A:

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: a coin and a dice roll together six consecutive times. What is the probability of encountering for…

A: Given: Number of rolls = 6 Number of faces in a dice = 6 The sample space in one roll = (H1, H2, H3,…

Q: What’s the probability a random four-digit ZIP code has the property the product of the digits is…

A: Random four-digit ZIP code consist of four digits.Total number of odd digits out of 10 decimal…

Q: Find the probability distribution for the number of dance collections when 3 collections are…

A: Let X be a random variable which represents the number of dance collections when 3 collections are…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: 8 people are taking a driving test. If the probability of passing the test is 0.75. What is the…

A:

Q: Suppose one card is drawn randomly from a deck of 52 cards. What is the probability of getting a…

A: Answer: From the given data, Total number of cards in a deck = 52 If one card is drawn randomly,

Q: Two boxes are selected randomly. The first box contains 2 white balls and 3 black balls. The second…

A:

Q: In a jar, there are 6 circles, 5 rectangles and 4 triangle shapes. A shape is drawn, replaced, and a…

A:

Q: A bag contains 4 balls, and 5 red balls. One ball is drawn from the bag. What is the probability…

A: Total blue balls= 4 Red balls= 5 Total Balls= 4+5 = 9 Probability of selecting Blue ball, P(B)= 4/9…

Q: An jar contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color…

A: Given that  Total balls=3+2+5=10 Red balls=3 , Blue balls=2 , White balls=5

Q: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…

A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…

Q: Determine the probability of selecting all faculty and no administrators

A: Total=18 Faculty=10 Administration=8 Committee of 8 members P=? (All from faculty and no from…

Q: A 200-page book was opened randomly. What is the probability that you opened to page 52 or a page…

A: Given :                      Number of ways choosing a page from 200 pages = 200

Q: Determine the probability that the rolled dice will result to a multiple of 3 or a square number.

A: It is known that, the outcomes of rolling a die are 1, 2, 3, 4, 5, and 6.

Q: An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket…

A: Let X be the number of persons holding a ticket appears for the flight.From the given…

Q: Find out the probability of getting a total of either 7 or 11 in a single roll of two dice?

A: Ans#- Given, Roll a dice twice then sample space                                           S   =…

Q: A bowl contains 6 yellow, 5 blue, and 9 red balls. One ball is removed from the box and it is not…

A: In this context, it is given that the box contains 6 yellow, 5 blue, and 9 red balls. The event of…

Q: Suppose you are going to form a committee of students and faculty. You have 7 total students and 12…

A: Solution

Q: Suppose there are 12 blue, 8 white and 6 red balls in a bag. If one ball is randomly selected…

A: Answer: From the given data, Number of blue balls = 12 Number of white balls = 8 Number of red balls…