A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward, and a center. a) If a person is chosen at random from each of 5 different such teams, what is the probability of selecting a complete team? b) What is the probability that four of the five selected players play the same position? c) What is the probability that three of the selected players are point guards and the other two are centers?

A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward, and a center. a) If a person is chosen at random from each of 5 different such teams, what is the probability of selecting a complete team? b) What is the probability that four of the five selected players play the same position? c) What is the probability that three of the selected players are point guards and the other two are centers?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Find the indicated probability. 21) The table below describes the smoking habits of a group of asthma sufferers. 21) Occasional Regular Heavy smoker smoker Total 543 Nonsmoker smoker Men 395 35 72 41 Women 347 40 87 39 513 Total 742 75 159 80 1056 If one of the 1056 people is randomly selected, find the probability of getting a regular or heavy smoker. A) 0.473 B) 0.151 C) 0.226 D) 0.107
2. There are 230 birds in a zoo. 90 birds are male with brown eyes and 70 birds are female with brown eyes. 30 of the birds are male with blue eyes and 40 birds are female with blue eyes. Construct a contingency table (ex. Lecture 1, slide 16). If a bird is selected at random: a) What is the probability that the bird is a female? b) A male with brown eyes? c) A female given that it has brown eyes? d) A male given that it has blue eyes? e) A creature with blue eyes given that it's a female?
If a spinner has 4 sections of equal size, labeled A, B, C, and D, what is the probability of landing on section C?
2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball? b) the probability of grabbing a white, then a black, then another white ball (without replacement)? c) the probability of grabbing a white, then a black, then another white ball (with replacement)?
Answer number 1
A standard deck of 52 cards has 4 suits (Each has 13 cards: Ace, 2, 3,..., 10, Jack, Queen, and King): Diamonds and Hearts are red colored, whereas clubs and spades are black. If three cards are drawn at random, without replacement, find the probability of getting all three ace cards
A school has 200 students with 80 students taking each of the three subjects trig, probability, and basket-weaving. There are 30 students taking any given pair of these subjects, and 15 students taking all three subjects. A) How many students are taking non of these three subjects? B) How many students are taking only probability?
A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)
6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal artsmajors.a.) What is the probability that a student selected at random will be a science orliberal arts major?b.) What is the probability that a student selected at random will be anengineering or science major?c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal artsmajors are female. What is the probability that a student selected at random is anengineering major or a female?
Solve
A couple has 5 children a) What is the probability they are all the same sex b) What is the probability of having 3 boys and 2 girls
A box contains 100 agricultural products, 30 of which are defective. Three products are selected at random without replacement from the box. i) Find the probability that the first one is defective. ii)Find the probability of third one is defective given that the first two are good. iii) Find the probability of three defective.