Example 3 Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

Q: Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and…

A: Total students in school is 82 number of students enrolled in spanish class is, n(S) = 29number of…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: Three cards are randomly selected without replacement from a standard deck of 52 playing cards.…

A: Given information- We have given an ordinary deck of cards. An ordinary deck consists of 52 cards.…

Q: What is the probability that one is dealt a full house?

A: A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination…

Q: Three cards are drawn with replacement from a standard deck. What is the probability that the first…

A:

Q: Two cards are drawn from a regular deck of 52 cards, without replacement. What is the probability…

A: Ans#- Two cards are drawn from a regular deck of 52 cards, without replacement.            What is…

Q: A student owns 15 pencils, 9 are mechanical pencils and 6 are wooden pencils. They pull a pencil out…

A: Given that Total number of pencil = 15 Mechanical pencil = 9 Wooden pencil = 6 We have to calculate…

Q: a 52 card deck contains 13 cards from each of the four suits: clubs, diamonds, hearts and spades.…

A: From the provided information, Total cards in deck = 52 Deck contains 13 cards from each of the four…

Q: If you pick up a card from a deck of 52, what is the probability that it will be a face card but not…

A:

Q: A bag contains 8 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at random,…

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

Q: Three cards are drawn from a deck without replacement. What is the probability that they are not all…

A: Given situation is three cards are drawn from a deck without replacement.   To Find: the probability…

Q: Suppose we have 12 women and 4 men. If we divide these 16 people into 4 groups of size 4, what is…

A: Given : 12 women and 4 men Total people=16 We need to choose 4 group of 4 people.

Q: If two cards are selected from a standard deck of 52 cards without replacement. What is the…

A:

Q: Now suppose that single card is down from 52 card deck but it is told that the card is black. What…

A: It is given that a deck contains 52 cards.

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: There are 3 blue socks, 3 red socks, 3 purple socks, and 3 green socks in a drawer. You take six…

A: The number of blue socks, The number of red socks, The number of purple socks, The number of green…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: two cards are drawn from a poker deck without replacing. What is the probability that the second is…

A: Given data :  Two cards are drawn from a poker deck without replacing. What is the probability that…

Q: a box contains five red balls, six green balls, and two white balls. Three white balls are drawn,…

A: Probability is a branch of mathematics that deals with quantifying uncertainty and measuring the…

Q: What is the probability that any card picked at random from a standard deck of 52 will be a club?

A:

Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that it…

A: Given that, set of card contains 2 decks. which means there are 2 set of cards. Each deck consists…

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

A: Given Data: The number of people in the group is: n=11 The number of people selected is: r=5 The…

Q: A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at…

A: It is given that, A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles and we draw 4…

Q: EXAMPLE 5 If 3 balls are "randomly drawn" from a bowl containing 6 white and 5 black balls, what is…

A:

Q: There is a deck of  52 playing cards. 13 hearts, 13 clubs, 13 diamonds, 13 spades. The gambler draws…

A: P(drawing a heart) = 13/52 = ¼ But, the gambler draws 4 cards without replacement.