Example A monkey is to demonstrate that she recognizes colors by tossing one red, one black, and one white ball into boxes of the same repsective colors, one ball to a box. If the monkey has not learned the colors and merely tosses one ball into each box at random, find the probabilities of the following results: a. There are no color matches. b. There is exactly one color match.

Debi sells eggs at a farmer's market. She sells the eggs by the dozen, and most of the eggs are large white eggs but she also has some small brown eggs. If there is one small brown egg in every 3 dozen eggs, and Debi sells 20 dozen eggs, what is the probability that an eg chosen at random from the eggs that she sells is a sma brown egg?

A box contains marbles of five different colors: red, green, blue, yellow, and purple. There is an equal number of each color. Assign probabilities to each color in the sample space. (Give your answers as fractions.) Red Green Blue Yellow Purple

Use this spinner game to answer questions 1 - 3. It costs $10 to play this game. The pointer is on blue. Probability Pay out Amount +1 $0 $8 $5 $15 $20 $18 Number of sectors: 6 Blue 20.00% -1 Pink 15.00% Number of spins: 1 Gray 30.00% Orange 10.00% Number of spins so far: 0 Green 12.00% Red 13.00% What would the owners expected profit or loss be from this game? Give your answer with a dollar sign and include a negative sign out front if needed. Do not round.

Find the σ2 and σ  for rolling two dice.

Consider the following game: A player rolls two dice. If he rolls 7 or less then he loses the game. Otherwise, he selects at random as many cards from the full deck as the sum of the numbers that came up on the dice. The player wins if all four Aces are among the selected cards. (a) What is the winning probability for this game? (b) Someone tells that he played this game once and won. What is the probability that he rolled a sum of 10?

You are going to roll three standard six sided dice. The dice are distinguishable: one is red, and other is blue, and the third is yellow. How many different roles are there?

A player pays 4 to play the following game The player tosses three fair coins and receives payoifs of 1 if he tosses no heads, 2 for one head, 3 for two heads, and 5 for three heads. What is the player's expected net winnings (or loss) for the game?

Alan has a bag of marbles with 4 blue marbles, 1 white marbles, and 2 red marbles.Find the following probabilities of Alan drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn. (Give your answer as a fraction)a) A Blue, then a red = 67​Incorrect  b) A red, then a white = 37​Incorrect  c) A Blue, then a Blue, then a Blue =

Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.