Which of the following are true; 1. The probability that 5 red balls are drawn are 2. The number of drawn blue balls is a random variable with a binomial distribution. 6 6 3. The probability that the two first balls drawn are red is given by P(R, N R2) = 13 13 4. The probability that the first ball is red, the second ball is blue and the third ball is red 6 7 5 is given by P(R, n B2 N R3) : 13 12 11

Which of the following are true; 1. The probability that 5 red balls are drawn are 2. The number of drawn blue balls is a random variable with a binomial distribution. 6 6 3. The probability that the two first balls drawn are red is given by P(R, N R2) = 13 13 4. The probability that the first ball is red, the second ball is blue and the third ball is red 6 7 5 is given by P(R, n B2 N R3) : 13 12 11

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

1. Let A and B be two events such that ACB, then P(AB)= 1,2,3/Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit. a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0.4. The probability that at least one of the events occur is a. 0.336 c. 0.024 b.0.664 d. 0.976 e. None 4. A box contains 3 red balls and 5 black balls. Balls are drawn randomly one at a time with replacement from the box. The probability that the third red ball is the seventh ball drawn is. a. 0.169 b.0.282 c. 0.179 d. 0.121 e. None 5. A box contains 20 balls, 13 of them are red and the rest are blue. Three balls are drawn randomly without replacement. The probability of getting at least I blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 a. 0.4 b.…
In an ૫૪ we have 2ored and 30 white balls. 10 balls are chosen with replacement • Find the probability that we pick fred and 6 white.
A bag contains 3 balls: 1 yellow, 1 red, and 1 green. Suppose I draw 2 balls from the bag with replacement (that is, after drawing the first ball and observing its color, I return it to the bag). Let Y be the event of drawing a yellow ball in a given draw, R be the event of drawing a red ball and G be the event of drawing a green ball.
An urn contains 4 balls numbered 1, 2, 3 and 4. One ball is randomly seleted from the urn. Let A = {1. 2}, B = {2, 3} and C = {3, 4}. Determine if A, B and C are pairwise and/or mutually exclusive (test all possible pairs, and all 3 together).
Q1) A specific article is produced by machines M, M, M,and M. The probability that a random article is produced by M, Mə and Ma is 0.2,0.3 and 0.1 respectively. The probability for each machine to produce defective articles is given as M, = 0.03, M2 = 0.02, M, = 0.04 and Ma 0.01. What is the probability that a random article was made by Ma, given that it is non-defective?
Suppose a jar contains 14 red marbles and 34 If you reach in the jor and pull blue marble out 2 marble at rand cin Probability that the at the same time, both are red. Find
4. The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is------ r p+q+r p+q+r Option 3 Option 2 p+q+r Option 1
There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black balls and 2 white balls in the second Urn. You ask your friend to randomly choose an Urn and pick 2 balls one by one with no replacement. 1c) If one black and one white ball are selected, what is the probability that your friend selects the Urn with 3 balls inside? 1d) If we repeat this experiment from the beginning with 5 different friends. What is the probability that 2 of them get 2 black balls? 1e) On average (expected value) how many of those 5 friends will get 2 black balls?
b) Events A and B are such that P(A) = 3/5, P(B) = 4/15. Find P(A U B) if i) A and B are mutually exclusive events. ii) A and B are independent events.
Please add a lot of details, im very confused.
Q1: A bag contains 5 white balls and 5 black balls; another bag contains 3 white balls and 7 black balls. If one :ball is drawn from each bag, so bläi 7 a) The probability that both are * white 0.80 0.55 0.15 none of all above blai 6 b) The probability that both are * black 1.20 O 0.35 0.55 none of all above bläi 7 c) The probability that one is * white and another is black 0.50 0.55 0.60 none of all above
A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is a diamond. A standard 52-card deck is split evenly into four suits of cards (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3.., 10, jack, queen, king. a) Find P(E) and P (E'). b) Find P(F) and P (F'). c) Find P(EUF).