A jar contains 47 balls numbered 1 to 47. a. How many different sets of 5 balls can be randomly taken from the jar? The answer is b. How many different sets of 5 balls containing the ball numbered 42 can be taken from the jar? The answer is Give your probabilities in simplified fraction form. Hint: look at the factorial forms of part a and part b. c. What is the probability that a 5 – ball set will contain the ball numbered 42? The answer is

Q: The group of students who are selecting 2 of their group at random to give a report, but assume that…

A: Given: The group of students who are selecting 2 of their group at random to give a report, but…

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A bag contains hair ribbons for a spirit rally. The bag contains 3 black ribbons and 17 green…

A: Answer:- Given, Number of black ribbons, n(black ribbon) = 3 Number of green ribbons, n(green…

Q: You ask a friend to think of a number from four to thirteen. What is the probability that his number…

A:

Q: If you randomly select a letter from the phrase "That group class on Rumba was really fun," what is…

A: We have to select a letter from the phrase 'That group class on Rumba was really fun' and then find…

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: Latanya recorded the grade-level and instrument of everyone in the middle school School of Rock…

A: To calculate the probability, we first need to know the total number of outcomes. In this case, the…

Q: A card is picked from the following cards. Find the probability that the card drawn is purple or…

A: There are total 7 cards. Among them 5 cards are purple or blue. So, n(purple or blue)= 5 n(all)=7…

Q: At a hot air balloon festival, Chandler made note of how many passengers were in each balloon and…

A:

Q: 2. Consider a hand of 6 cards chosen at random from a deck of 52 cards. Recall that there are 4…

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

Q: What is the probability of getting either a diamond or a jack when drawing a single card from a deck…

A: Total cards (T) = 52Jack cards (J) = 4 Diamond cards (D) = 13Diamond and Jack cards (J and D) = 1

Q: Each column sums to 100%. There are about 100,000 men and 100,000 women in the workforce. Refer to…

A: Given information: Occupation sectors Gender Men Women Management 35 42 Service 14 20…

Q: A bag of M&M's has 7 red, 6 green, 8 blue, and 2 yellow M&M's. What is the probability of randomly…

A: A given experiment in which a bag of M&M's contains 7 Red,6 green, 8 blue,2 yellow balls. Now to…

Q: A card is drawn at random from a box of 20 cards numbered from 1 to 20. Find the probability of…

A: Given,cards numbered from 1 to 20.and a number which is multiple of 4 from 1 to 20 is4,8,12,16,20

Q: A hand consists of 3 cards from a well-shuffled deck of 52 cards. a. Find the total number of…

A: Given Information: A hand consists of 3 cards from a well shuffled deck of 52 cards. (a) To find the…

Q: The mathematics faculty at a college consists of 11 professors,12 associate professors, 9 assistant,…

A: The mathematics faculty at a college consists of: 11 professors 12 associate professors 9 assistant…

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a…

A: We know thatThere are 52 cards in the deck divided into two colour i.e red(26) and black (26). These…

Q: What is the probability of drawing a 9 from a deck of cards, keeping it, then drawing another 9?

A: The events, drawing a 9 from a deck of cards, keeping it, then drawing another 9 are dependent…

Q: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can either start with…

A: Given information: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can…

Q: A bag contains 3 red and 6 blue balls. You draw one ball and then another without replacement. What…

A: Total number of red balls in the bag is 3. Total number of blue balls in the bag is 6.

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: From the provided information, A pair of dice is rolled. Total outcomes = 6 × 6 = 36

Q: Mario has a number cube with wife’s numbered 1 through 6. He rolls the number cube twice. He rolls…

A: Solution of this question is

Q: ou are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with…

A:

Q: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting three…

A: It is known that Number of queens = 4 Number of kings = 4 Total cards = 52 Sample size = 7 The…

Q: Find the probability of getting 3 face cards (king, queen, or jack) when 3 cards are drawn from a…

A: Given that in standard deck 3 face cards are drawn without replacement. Total number of cards in a…

Q: There are ten female board members and twenty male board members. How many ways are there to make a…

A: Ways to make a committee of ten board members =  30C10=30!20!×10!=30045015

Q: family has three children. Find the probability the family has at most 1 boy.

A:

Q: On a roll of a die, what is the probability of landing a. Aneven number? b. An odd number? C. prime…

A: We have given that  Roll a die  Total number of outcomes=6 Sample space=S=(1,2,3,4,5,6) A=Even…