In​ 5-card poker, the number of outcomes favorable to an event E is given in the table. Find the probability of being dealt four of a kind or a straight. The probability of being dealt four of a kind or a straight is _______ ​(Round to 6 decimal​ places.)

Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

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Q: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 10 buildings…

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Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

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Q: An office has 14 men and 13 women employees.  Three employees are picked at random for a trip to…

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Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: When two dice are rolled the no of possible outcomes is n(s)=62 =36 Let E be the event that the 1st…

Q: The probability that Tom will be alive in the next 20 years is 0.7 and the probability that Nancy…

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Q: Let the probability of success in shooting player A is 1/4, and the probability of success in…

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Q: In a throw of a coin, find the probability of getting a head.

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Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A child finds a stack of old magazines in the basement and picks one out at random. Find the…

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Q: A die is thrown 5 times. Z= Number of Even numbers. Find the probability of getting exactly 3 even…

A: Givena die is thrown 5 timesn=5probability of getting even number =36=0.5          (since there are…

Q: Find the probability of selecting a red card or a 3 from a deck of 52 cards.

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Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A: We can roll 1 in only 1 way.For a die there are 6 possible outcomes.So, the probability of rolling a…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, find…

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Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: A die is rolled 9 times. Find the probability of rolling no more than 3 fives. The probability of…

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Q: Two balls are drawn successively without replacement from a box which contains 4 white balls and 3…

A: Answer:- Two balls are drawn successively without replacement from a box which…

Q: In a 5-card poker hand, find the probability that the hand contains 3 spades

A: Given: The objective is to find the probability that the hand contains 3 spades in a 5 card poker…

Q: Find the probability that when a couple has two ​children, at least one of them is a boy. ​(Assume…

A: Solution

Q: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 9 buildings on…

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Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: One card is selected at random from a deck of cards. Determine the probability that the card…

A: Given that one card is selected at random from a deck of cards.

Q: Find the probability of the given event. A bag contains 4 red marbles, 6 blue marbles, and 9 green…

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Q: Find the probability that the 12 cards being dealt contain equal number of suits.

A: The probability is the chance of occurrence of observations can involve in the sample by given equal…

Q: If a family has three children, find the probability that exactly one of the three children is a…

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Q: Find the probability of being dealt three aces in a row, with replacement.  Assume a standard deck…

A: Standard deck of cards have 52 cards. Out of them 4 cards are Aces.

Q: an urn contains 4 red balls and 6 green balls. pick a ball; keep it; pick another ball. then the…

A: No.of red balls=4 No.of green balls=6 Total no.of balls=10

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies. You grab a handful of 9…

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Q: What is the probability that a couple that has 5 children will have: 4 boys and 1 girl? 5 girls? 3…

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Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: A special deck of 20 cards contains 12 black cards and 8 green cards. One of the cards has a bent…

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Q: Five cards are randomly selected from a 52-card deck for a poker hand. Find the probability of being…

A: Introduction: The number of cards in a deck is 52. The number of cards in the players hand is 5. The…

Q: The probability that a student taking math course, given that the student is on the honor roll is…

A: The Probability that a student taking math course, given that the student is on the honor roll is…

Q: ne which numbers could not represent the probability of an event

A: Given that  Numbers which could not represent the probability of an event.   We know that…

Q: flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3…

A: Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Q: A die is being thrown twice. Find the probability of getting 5 and 1 in each respective throw

A: if we throw a die twice than the total possible out comes is 36and the no.of possible out comes of…

Q: A card is selected from a deck. Find the probability that it is a number greater than or equal to 8…

A: Given: n=52 A card is selected from a deck.  To find: The probability that it is a number greater…

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.