a three digit number is made by choosing 2,3,5,7,8. what is the probability that the number chosen will be divisible by 3?

Q: What is the probability of spinning a number divisible by 3?

A:

Q: A box contains 8 red, 5 white, 6 blue and 11 black marbles. If one marble is taken from the box,…

A: we have 8 red , 5 white , 6 blue and 11 black marbles if one marble is taken from the box, find the…

Q: A dice and a coin are rolled together, find the probability of getting an even number with a head or…

A:

Q: A two-digit number is formed from the numbers (0,1,2.3,4.5,6) without repetition. What is the…

A: Solution: A two digit number is formed from the number 0,1,2,3,4,5 and 6. without repeating the…

Q: What is the probability that Mike correctly identifies all 3 songs in the correct order?

A:

Q: A lock consists of 3 dials, where each dial has 5 letters. What is the probability of guessing the…

A: Total number of dials in the lock is 3. Number of letters each dial have is 5.

Q: A shelf has 6 physics books and 5 mathematics books. Find the probability that 3 particular…

A: Given,no.of physics books=6no.of mathematics books=5total no.of books=11

Q: A box contains 3 black spheres and 4 white spheres. What is the probability of selecting exactly 2…

A: Total number of spheres = 7Total number of black spheres =3Total number of white spheres=4Total…

Q: A bag contains 8 green balls, 6 black balls and 7 red balls. Find the probability of selecting

A: It is given that, A bag contains 8 green, 6 black and 7 red balls. i.e. number of black balls= 6 the…

Q: .A coin is flipped 5 times, find the probability of getting at most 1 head.

A:

Q: A three-digit number is made by choosing three different digits from 2, 3, 5, 7 and 8. What is the…

A: Given information: A three-digit number is to be made from the numbers 2, 3, 5, 7, and 8. The…

Q: the probability that a number selected from the numbers (1, 2, 3,......,15) is a multiple of 4?

A:

Q: If one card is drawn from a standard 52 card playing deck, determine the probability of getting a…

A: Given data, total cards in a deck= 52 Number of jack = 4 (one in each suit) Number of Three = 4 (one…

Q: One card is drawn from a deck. Find the probability that it is red or an 8?

A: Let, r is the event that represents a red card is drawn. e is the event that represents an 8 card is…

Q: A deck consist of 3 jacks, 3 queens and 3 kings of different suit. What is the probability of…

A: Given information: A deck consist of 3 jacks, 3 queens, and 3 kings of different suit.

Q: There are 7 red marbles, 5 blue, 3 green, and 9 yellow marbles in a bag. What is the probability of…

A: Solution: From the given information, there are 7 red marbles, 5 blue marbles, 3 green marbles and 9…

Q: The biology faculty at a college consists of 7 professors, 14 associate professors, 10 assistant…

A: This question can be solved using the concept of P(A U B)

Q: If one card is drawn from a standard deck, find the probability of getting a black or a face card

A: Given that, Card is drawn from a standard deck, We have to  find the probability of getting a black…

Q: A lock consists of 4 dials where each dial has 6 letters what is the probability of guessing the…

A:

Q: From a group of 11 people, you randomly select 5 of them. What is the probability that they are the…

A: group of 11 people    you select 5 out of 11   P(you select 5 oldest people in group) = ?

Q: A two-digit number is formed from the numbers (0,1,2.3.4,5.6) without repetition. What is the…

A:

Q: The probability of drawing a yellow 3 triangle is If you replace the card, how many times will you…

A:

Q: A 5-digit number is formed from 1, 2, 3, 4 and 5. What is the probability that the number ends in…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: Suppose a jar contains 19 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Answer - A jar contain 19 red marbles and 34 blue marbles.              Total =  53  marbles Pull…

Q: A deck consist of 3 Jacks, 3 Queens and 3 Kings of different suit. What is the probability of…

A: Given Information: No. of jacks=03No. of Queens=03No. of Kings=03Total cards=09

Q: From the English alphabet, one letter is selected. What is the probability of selecting a…

A:

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: There are 7 finalists in a singing competition.  If a person guesses randomly the top three winners…

A: Given: Number of competitors, n=7 The objective is to find the probability of randomly selecting a…

Q: Find the probability of getting a 4 of a kind hand when 5 cards are dealt from an ordinary deck.…

A: here in standard deck there are total 52  card  there are total 4 suit  and each suit have 13 card…

Q: Suppose we want to pick two numbers from{1,2,3,....,100} randomly. What is the probability that the…

A: Modulo 5 = 0 are 20 Modulo 5 = 1 are 20 Modulo 5 = 2 are 20 Modulo 5 = 3 are 20 Modulo 5 = 4 are 20…

Q: A bag contains 3 red marbles, 4 blue marbles , 9 yellow, and 5 green. What is the probability of…

A: Given that there are  3 red marbles, 4 blue marbles , 9 yellow, and 5 green. So there are total…

Q: If one card is drawn from a deck, find the probability of getting these result. 7. A heart or a club…

A: One card is drawn from a pack of 52 cards, there are 13 hearts and 13 clubs in the deck. Therefore…

Q: A die is rolled three times. What is the probability that the three numbers are the same? The…

A: The total number of outcomes of rolling of 3 dices are 63=216.   The number of outcomes, in which…

Q: In Megabucks, a player who correctly chooses five out of the six winning number gets $400. What is…

A: 1): probability of winning $400 is =0.0006433     # rounded to 6 decimal places

Q: There are 15 red, 15 blue, and 15 yellow marbles in a bag. What is the probability of drawing 2…

A: Given that a bag contain 15 red, 15 blue, 15 yellow marbles. Total marbles in a bag= 15 red +15 blue…

Q: If 7 people are chosen for an ensemble from 9 sopranos and 7 altos, what is the probability that 3…

A:

Q: A lock consists of 2 dials, where each dial has 3 letters. What is the probability of guessing the…

A: Given A lock consists of 2 dials, where each dial has 3 letters.

Q: In one draw, what is the probability of drawing a blue card or an even number?

A: In a deck of 52 cards there are 4 suits : hearts, clubs, spades, diamonds. Each suite has thirteen…

Q: There are 14 runners in a 1500m race. What is the probability of predicting the first five runners…

A: Given that there are total 14 runners.  We have to select the first 5 runners.  Here the order…

Q: A card is drawn from a deck of 52 playing cards. Can you find the probability that it is a black…

A: Given: Total number of cards in a deck, N=52. The objective is to find the probability of randomly…

Q: A box contains 10 cards labeled J, K, L, M, N, O, P, Q, R, and S. One card will be randomly chosen.…

A: We will find the probability as following.

Q: in a catalog, movies are identifed by an ID number- 2 letters followed by 3 digits. repitions are…

A: From the given information, Total number of letters =26 Total number of digit set = {0, 1, 2, 3, 4,…

Q: A club must choose 6 people to represent them at the national convention. The people will be chosen…

A: Combination:   The selection of the objects is done when the order of selection is being not…

Q: From a group of 8 people, 4 are randomly selected. What is the probability the 4 oldest people in…

A: Given that there are 8 people and 4 are selected randomly. The number of ways for selecting 4 from 8…

Q: If you know the names of the remaining four students in the spelling bee, what is the probability of…

A: Here, there are 4 students in the spelling bee. Hence, the total number of possible arrangements of…

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

A: Each dial has 4 letters  So probability of getting the correct letter on each dial = 1/4

Q: A deck consist of 3 jacks, 3 queens, and 3 kingsof different suit. what is the probability of…

A: Given information: A deck consist of 3 jacks, 3 queens, and 3 kings of different suit.

Q: Suppose a jar contains 15 red marbles and 26 blue marbles. If you reach in the jar and pull out 2…

A:

Q: The digits 1, 2, 3, 5, 7, and 8 are randomly arranged to form a six-digit number. What is he…

A: Given digits 1,2,3,5,7 and 8 Randomly arranging 6 digit number. We know that Probability = Number of…

Q: Find the probability that 7 people selected at random will have 7 different birthdays.

A: We have to find out given probabiity.

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.