Mutually Exclusive Overlapping Or Inclusive Independent Dependent Expected

Mutually Exclusive Overlapping Or Inclusive Independent Dependent Expected Value 1 pt 1 pt 2 pt 2 pt 3 pt 3 pt 4 pt 4 pt 5 pt 5 pt

A teacher has 9 red crayons, 4 blue crayons, 7 purple crayons, and 5 black crayons in a basket. A student reaches into the basket and randomly selects a crayon. What is the probability that the crayon will be either blue or black?

A six sided number cube with faces numbered 1 -6 is rolled. What is the probability that an even number or a 3 will be rolled?

A box containing 4 green tiles, 8 white tiles, and 10 red tiles. Manuel will reach into the box and select a tile without looking. What is the probability that he will select either a green tile or a red tile?

Beth has a spinner which is divided into seven equal sections for the days of the week. Beth will spin two times. What is the probability that the arrow will land on either Saturday or Sunday both times?

Harrison has a spinner that is divided into 15 congruent sections. It has 6 red sections, 8 blue sections and 1 yellow section. Harrison will spin once. What is the probability that it will land on a blue section or a yellow section?

You have 4 blue cards numbered 1 -4 and 4 red cards number 1 -4. What is the probability that you choose a blue card and a number “ 3” card?

A six sided number cube with faces numbered 1 -6 is rolled. What is the probability that an even number or a 2 will be rolled?

You have been asked to pick one card from a deck of UNO cards. Would choosing a 4 or a blue card be mutually exclusive?

NO…. . because there is a blue card that is also a “ 4”

A pair of dice is rolled. What is the probability that the sum will be greater than 8 or a “ 12”?

All students with a jacket line up on the left side of the room. All students with a cell phone line up on the right side of the room. Is this a mutually exclusive event?

NO…. . because there may be a student with a jacket that also has a cell phone

Greg wrote the numbers 1 -9 on pieces of paper and placed them in a hat. He randomly selected one piece of paper and replaced it. What is the probability that he will select a piece of paper with an odd number on it and then select the number 4?

There are 6 red apples, 4 yellow apples, and 2 green apples in a bucket. Maria will choose two apples at random with replacement. What is the probability that Maria will choose a red apple and a yellow apple?

What is the probability of choosing a face and a heart with replacement?

What is the probability of picking two triangles replacing the first before you pick again?

Terrell casts his line into a pond containing 7 catfish, 8 bream, 3 trout and 6 stump-knockers. He immediately catches a trout and releases it because it is too small. What are the chances that he will catch another trout the next time he casts his line?

Greg wrote the numbers 1 -9 on pieces of paper and placed them in a hat. He randomly selected one piece of paper and replaced it. What is the probability that he will select a piece of paper with an odd number on it and then select one with an even number on it?

Seth places 7 red cards , 9 blue cards and 4 yellow cards in a bag. All the cards are the same size and shape. He randomly selects a card. It is yellow. He does not replace it. Seth will randomly select a second card from the bag. What is the probability that he will select a blue card?

There are 6 red apples, 4 yellow apples, and 2 green apples in a bucket. Maria will choose two apples at random without replacement. What is the probability that Maria will choose a red apple and a green apple?

Greg wrote the numbers 1 -9 on pieces of paper and placed them in a hat. He randomly selected one piece of paper and did not replace it. What is the probability that he will select a piece of paper with an odd number on it and then select one with an even number on it?

A bag contains 3 blue marbles and 3 red marbles. Kevin reached in and drew out one marble. Then without replacing the marble, he drew out a second one. What is the probability that Kevin draws out 2 blue marbles?

What is the expected value of 1 roll of a six sided number cube numbered 1 -6?

3. 5

The CCHS high school tennis team sells 1000 raffle tickets. Each ticket costs a $1 and the random winner will win $500. If you buy one ticket, what is your expected gain?

$0. 50

A spinner has three sections each with different point values. 1 point section is of the area 2 point section is 3 point section is of the area To the nearest tenth of a point, what is the expected value?

1. 4

Ryan puts 2 nickels, 2 dimes and 1 quarter. He then picks one coin at random. What is the expected value in cents of each pick in this experiment?

$0. 0532 or $0. 05

You take an exam that has 4 possible answers. You gain three points for each correct answer and lose one point for each incorrect answer and do not gain or lose points for answers left blank. If you do not know the correct answer, is it to your advantage to guess the answer? Explain

Because the expected value is ZERO when guessing, it is neither to your advantage nor to your disadvantage to guess.