Each of the three urns contains one red ball, one blue ball, and one green ball. If three balls (one from each urn) are drawn at random simultaneously, calculate the probability of the following events. (a) balls drawn are of different colors (b) balls drawn are of the same color (c) exactly two of the balls have the same color

Q: Suppose you are dealt a five-card hand from a standard deck. Find the probability of each of each of…

A: Solution

Q: group of 5 people each bring an unwrapped gift for a holiday gift exchange. The elves come and…

A: We have to find given probability.

Q: In a certain college 25% of boys and 10% of girls are studying Mathematics. The girls constitute 60%…

A: For the given data

Q: Find the probability in each of the below four cases, if the balls are drawn one after the other…

A: Given that there are 4 white & 6 black balls. Total (4+6)=10 balls We can draw any 2 balls from…

Q: Of the 11 instructors in the English Department, four are new to the department and three are…

A: Let us denote: N=new to the department F=Female   Given that n(N)=4, n(F)=3, n(N and F)=1   We have…

Q: If two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

A:

Q: A men is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

A:

Q: A person takes at random one of the numbers 1, 2 or 3, with equal probability each of them, and then…

A:

Q: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: A card is drawn at random from an ordinary pack of 52 playing cards. Find the probability that the…

A:

Q: A card is drawn at random from an ordinary deck of 52 playing cards. Find the probability that it is…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: There are two urns. The first urn contains 1 black and 1 white balls. The second urn contains 2…

A:

Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: A box contains 5 white balls and 2 red balls. If three balls are drawn from one box, find the…

A: Ans- Given, a box contains 5 white balls and 2 red balls. Total = 5 + 2 = 7 balls.  If three balls…

Q: .. A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other…

A: GivenA bag contains No.of white balls = 5No.of black balls = 3Total no.of balls = 8

Q: For any two events A and B and P(B) + 1, find weather the following statement is true or not: 1- Р…

A: Introduction :-  We have to check whether given statement is true or false. Formulae :-

Q: A bag contains 5 red and 7 black balls. A ball is drawn at random from the bag, the colour is noted…

A:

Q: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

Q: A class of 20 juniors, 30 seniors, and 10 graduate students makes up an advanced physics class.…

A:

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: Three cards are drawn from a deck without replacement. Find the probability the first card is a…

A: the first card is a spade, the second card is a club, the third card is a black card.

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each…

A: Here in this question it given that we have an urn containing 7 red and 3 blue balls. You draw three…

Q: Assume that the box contains 9 balls: 3 red, 1 blue, and 5 yellow. As in the text, you draw one…

A:

Q: Three cards are drawn from an ordinary deck in succession without replacement. Find the probability…

A: Solution Number of total cards = N = 52