A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?

Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A:

Q: A couple plans to have 4 children. Find the probability of getting exactly 1 girl.

A: The objective of this question is to find the probability of a couple having exactly 1 girl out of 4…

Q: A bag contains 6 red, 8 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if…

A:

Q: A bag contains 6 red, 3 blue, and 7 yellow poker chips. You randomly choose 2 poker chips, one at a…

A:

Q: A student takes a 20-question multiple-choice test with 4 choices for each question. If the student…

A: The sample size n is 20.

Q: In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend a management…

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

Q: A test consists of 10 questions.  The probability of guessing a correct answer is 0.2 and to pass…

A: Given sample size(n)=10

Q: A doctor has 3 doses of flu protection vaccine left. He has 5 women and 9 men who want the…

A: GivenNo.of women = 5No.of men = 9Total no.of people = 14No.of doses doctor have=3

Q: An archer is able to hit the bull's-eye 47% of the time. If she shoots 6 arrows, find the…

A: According to the provided infomation, probability of success (p) = 0.47 number of trials (n) = 6

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: Find the probability of receiving 8 letters for the next 2 weeks.

A: Here Given  No of letters per Week =4 So here we can use POISSION DISTRIBUTION for this case

Q: Mario has 3 nickels , a dime, and 2 quarters in his pocket. What is the probability that he randomly…

A:

Q: On a TV game show, 12 people have won the grand prize and a total of 498 people have competed.…

A: Given that, The total number of people who competed is 498 n=498 The 12 people won the grand prize.…

Q: There are 2 red marbles, 3 yellow marbles, and 5 blue marbles in a bag. Determine the probability…

A: From the provided information, Total marbles = 2 + 3 + 5 = 10 Red marbles = 2

Q: Jelany has a jar of beads with all different colors. There is a total of 80 beads and 35 of them are…

A: Given, Total beads = 80 No of red beads = 35 probability of choosing a red then a yellow marble is…

Q: bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble.  Half of the red and green…

A: The probability is defined as the ratio of the favorable outcomes to the total number of outcomes.…

Q: The probability of winning on a slot machine is 8%.  If a person plays the machine 300 times, find…

A: Let X be the number of times winning on a slot machine and n be the number of times a person…

Q: One card is drawn from a well-shuffled deck of 52 cards (no jokers). Find the probability and the…

A:

Q: A bag contains an equal number of pieces of candy for 6 candy colors. What is the probability of…

A: GivenA bag contains an equal number of pieces of candy for 6 candy colors

Q: Find the probability of green occurring on two consecutive plays on a roulette wheel.

A: A roulette wheel contains a total of 38 pockets, out of which 18 pockets are red, 18 pockets are red…

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.