two number cubes are rolled sequentially. what is the probability that the first number cube shows a five and the other number cube shows an even number?

Q: suppose you toss a coin 100 times and get 95 heads and five tails. what is the estimated probability…

A: Solution

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

A:

Q: If three coins are flipped, find the probability that exactly two heads turn up.

A: Solution: Consider S to be the sample space for the experiment and E to be the number of events…

Q: if three cards are drawn from a well shuffled 52 card deck of playing cards, Find the probability…

A:

Q: If we flip a coin four times, what's the probability we get an equal number of heads and tails?

A:

Q: If a fair coin is tossed three times, find the probability of getting heads on the first toss and…

A: Let H be the event that it is heads T be the event that it is tails .   The sample space for a coin…

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

A:

Q: If one student is chosen at random, Find the probability that the student was NOT a male that got a…

A: P(C) = 20/77 P( C and Female) = 13/77

Q: If a standard six-sided is rolled, what is the probability of rolling an odd number

A: We have given that,  A standard Six-sided is rolled then the sample space (s) is,  s = {1, 2, 3, 4,…

Q: If two dice are tossed, find the probability of rolling a sum of either 7 or 9.

A:

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

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: If two dice are rolled one time, find the probability of getting a sum of 6

A: Given information: Number of dices rolled = 2 The probability of getting a sum of 6 has to be…

Q: In one lottery a player wins the jackpot by matching all five numbers drawn from white balls (1…

A:

Q: A spinner is divided into 3 equal sections, with sections labeled 1, 2, and 3. What is the…

A: Given information A spinner is divided 3 equal sections Getting an odd number 1,3 = 2/3 Probability…

Q: A coin is flipped 5 times. What is the probability that both heads and tails occur?

A: Assuming the coin flipped is an unbiased coin, P1 Head=P1 Tail=0.5

Q: If two dice are rolled, find the probability that neither die shows a 3 on it.

A: It is an important part of statistics. It is widely used.

Q: If a dice is thrown twice, find the probability of getting two 5’

A:

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: If four cards are dealt from a full deck, use a tree diagram to find the probability that exactly…

A: Given information: The number of cards in a deck is 52. The number of cards in the players hand is…

Q: If one card is drawn at random from a standard 52 card deck, find the probability that the card is…

A: It is given that the one card is drawn at random from the pack of 52 cards.

Q: A bag contains 4 green chips, 3 black chips, and 1 blue chip. If one chip is drawn at random from…

A:

Q: If we flip a coin five times, what's the probability the first flip was a tail, if we know exactly…

A:

Q: A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a…

A: When a dice is rolled then there are 6 outcomes.  So the probability of getting a 6 on the first…

Q: If one of the 255 subjects is randomly selected, find the probability that the person is over 40…

A:

Q: If we toss four coins, what is the probability that we get the same number of heads as tails?

A: From the provided information, There will be 16 different possibilities when 4 coins are tossed:…

Q: Amanda, Becky, and Claire toss a fair coin in a sequence until one person ”wins” by tossing the…

A: Introduction: Since the coin is fair, each toss, by any of the players, will result in either head…

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: A card is drawn from a deck of 52 playing cards. Can you find the probability that is a red king?

A: Given: Number of cards in a deck, N=52. Number of red king cards in a deck, n(rk)=2. The objective…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9​, given that the…

A:

Q: If six cards are dealt from a full deck, use a tree diagram to find the probability that exactly two…

A: Given Information: Six cards are dealt from a full deck. (52 cards) To find the probability that…

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

Q: When a single die is tossed, what is the probability of getting a number that is a multiple of 2?

A:

Q: If a couple has 8 children. What is the probability that they will give birth to alternating…

A:

Q: If a single fair die is​ rolled, find the probability of a 5 given that the number rolled is odd.

A:

Q: . If a single coin is flipped four times, find the probability that two or more heads occur.

A: Let p be the probability of getting head. Then p = 0.5 Let X denote the number of heads in four…

Q: If four coins are flipped, find the probability and the odds of obtaining one head and three tails.

A:

Q: A student is flipping a quarter and the student noticed that three times in a row, the quarter came…

A: The next flip will not depend on the previous results. When we flip a con there are 2 outcomes {H,T}…

Q: when a single die is rolled, find the probability of gitting a 9.

A:

Q: If you randomly place your 8 books on the bookshelf, what is the probability that they will end up…

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of an ace and…

A: In a standard 52-card pack, there are 4 ace cards in it. In a standard 52-card pack, There are four…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9,given that the sum…

A: Given: Two fair dice are rolled. The objective is to find the probability that the sum of the dice…

Q: If four coins are flipped, find the probability of obtaining two heads and two tails.

A: Given: Four coins are flipped. Sample…

Q: If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

A: We have a 12 sided fair die. It is rolled twice

Q: If two dices are rolled, what is the probability that the sum of the up-turned faces will equal 7?

A: In this case, the sample space when two dices are rolled is shown below:

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: If a number is chosen from a set of three-digit numbers, what is the probability that the number is…

A: 3 digit numbers are ranging from 100 to 999

Q: Two cards are drawn at random and replaced after each draw. Given that the first card was a Jack of…

A: Given that each card was replaced after drawing.  So each draw is independent of the other.    That…

Q: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

A: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

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.