Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least one head if you flip the coin four times?

Q: In tossing a coin, how many ways are there of tossing 4 heads out of 7 tosses?

A: The number of tosses is 7.

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

Q: A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

A:

Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Given  A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies.…

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: In how many ways can a full house of 3 jacks and a pair of twos be obtained from an ordinary deck of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: 9. Suppose you are given an ordinary deck of playing cards. In how many ways can 7 cards be…

A: Given :   An ordinary deck of playing cards. Total Cards=52

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: Out of 9 children, in how many ways can a family have at least 1 girl?

A: We have given that, 9 children i.e. n=9 and family have at least 1 girl i.e. r=1   Combination…

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 2 on…

A:

Q: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least…

A: Given Coin flip five times how many ways could you obtain at least one head?

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

A:

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

A:

Q: A coin is flipped 10 times in succession. In how many ways can at least 8 heads occur?

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: In a survey of 24 college students, it was found that 8 were taking an English class, 12 were taking…

A:

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: Suppose you toss a fair coin 10,000 times. Should you expect to get 5000 heads?

A: As we know every time a fair coin is tossed the chance of getting head or tail is equal that is 50…

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

A:

Q: Casino has a new game that uses 10 identical decks of cards mixed into 1 megadeck. How many 10 card…

A: A deck consists of 52 cards. Total cards in 1 megadeck that uses 10 identical decks of…

Q: In how many ways can one choose three cards in succession from a pack of 52 cards with replacement?

A:

Q: A coin is flipped 7 times in succession. In how many ways can at least four heads occur?

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: The number of permutations of n items is also called as _______________.

A: The number of permutations of n items is also called as n! (n Factorial).

Q: If you toss 5 fair coins, in how many ways can you obtain at least one tail

A:

Q: If a coin is flipped 10 times, how often are there 6 or more heads?

A: We want to find the probability  P(X≥6)= ?

Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: To play a particular card game, each player is dealt five cards from a standard deck of 52 cards.…

A: Permutations and combinations are used to select arrange a certain number of quantities from a group…

Q: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: How many permutations are there of the letters in the word 'PENCILS', if all the letters are used…

A: If all the letters in the word are distinct and we have to arrange letters without repetition, then…

Q: 4. How many ways we can choose champion, first runner -up and 2 runner-up out of 20 participants?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: a coin five times, how many ways ca

A: From the given information, the coin is flipped five times. The total outcomes is 25=32. The…

Q: You flip a coin eight times and keep a record of the results. In how many ways could you obtain at…

A: Given , a coin flip eight times and and we have to find ways to obtain at least one tail. When you…

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Solution: We have to find out answer

Q: How many permutations are there of the letters in the word 'CHARGES', if all the letters are used…

A: The formula for Permutation is nPr = n!/(n – r)!.

Q: If a bank sends a random 5-digit number to customers for security, how many potential numbers are…

A:

Q: How many permutations are there of the letters in the word 'CLOTH', if all the letters are used…

A:

Q: One version of the card game poker involves dealing each player 5 cards from a standard deck of 52…

A: We use permutation formula here= n!/(n-r)! Here n=52 And r=5

Q: in poker, how many ways can you get three aces and two 3's

A:

Q: In how many ways can four children fall in line if the tallest be the last?

A: In how many ways can four children fall in line if the tallest be the last?

Q: how many are the possible cases, regardless of

A: From the given information, The coin is tosses n times. And the coin has two faces.

Q: In 256 sets of 12 tosses of a coin, in how many cases one can expect 8 heads and 4 tails.

A:

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.