1) in a family with 6 children, excluding multiple births, what is the probability of having 4 boys and 2 girls? Assume that a girl is as likely as a boy at each birth. 2) a small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is a particular sequence of 4 digits with no repeats, what is the probability of a person guessing the right combination?

Q: Sophia and Daniel each have a bag containing all 26 letters of the alphabet. Sophia randomly takes a…

A: Given information: Number letters in each bag = 26 Let Sophia randomly takes a letter from her bag…

Q: what is the probability the he or she will answer correctly (a) at least 6 problems?

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Q: Suppose a jar contains a total of 72 marbles. There are 17 red marbles, 23 blue marbles and 32 black…

A: It is given that, A jar contains a total of 72 marbles out of which there are 17 red marbles, 23…

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

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

Q: Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the…

A: The objective of this question is to find the probability that a randomly picked three-digit number,…

Q: From a group of 11 people, you randomly select 2 of them.What is the probability that they are the 2…

A: Combination: A combination is a selection of objects without considering the order.Let n be the…

Q: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: Two cards are drawn from a single deck of 52 cardsone after the other. If the first card is not…

A: The objective of this question is to find the probability of drawing a king on the first draw and a…

Q: A math teacher chooses   8    students at random from a class of   38  to solve a problem at the…

A:

Q: Suppose a jar contains a total of 72 marbles. There are 11 red marbles, 21 blue marbles and 40 black…

A: From the provided information, Total marbles = 72 Red marbles = 11 Blue marbles = 21 Black marbles =…

Q: Out of a group of 10 patients treated with a new drug, 4 suffered a relapse. If 3 patients are…

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Q: , find the probability that neither is red.

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Q: A lock consists of all 3 dials, where each dial has 4 letters. What is the probability of guessing…

A:

Q: Suppose you have 2 identical green socks, 4 identical red socks, and 14 identical purple socks. If…

A: Given,no.of green socks=2no.of red socks=4no.of purple socks=14Total no.of socks=20

Q: 2. If seven coins are tossed simultaneously, find the probability that they will just have three…

A: Given that  Number of coins tossed (n) = 7 In a fair coin Probability of head = Probability of tails…

Q: Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the…

A: The objective of this question is to find the probability that a randomly picked three-digit number,…

Q: A thief must randomly guess the correct 5 digit pin from a 8 key keypad. What's the probability he…

A: Here there are two possibilities 1) If repetition of number is allowed 2)if repetition of number is…

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

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Q: Suppose a quiz consists of 13 multiple choice questions, each question has four possible answers and…

A: Given : No. of multiple choice questions (n) = 13 Each question has 4 possible answers and 1 of them…

Q: If the probability of being left handed is 0.23 and the probability of being right handed is 0.77…

A: Let X be the number left handed let p be the probability of being left handed  q be the probability…

Q: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into…

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Q: a random card is drawn from a standard deck of playing cards (52 cards), what is the probability of…

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Q: A comment of 2 people is to be chosen from 8 women and 6 men. What is the probability at least one…

A: Given Data: The number of people required in the community is: N=2  people The number of women…

Q: there are 6 jobs applicants in a company, 4 are college graduate and 2 are not. If the owner selects…

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Q: A committee of five people is to be chosen at random from a club with 13 members comprised of five…

A: Given: Total members=13            Total men=5             Total women=8To find: The probability…

Q: How many codes are possible if repeats are not allowed and the second letter must be 'P' and the…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.