Draw the sample space and answer the question: You are playing a game with a 4 section spinner (1, 2, 3, 4) and a coin. If you spin the spinner and flip the coin, what is the probability you will get an even number spin and a heads OR an odd number spin and a tails?

Draw the sample space and determine the total number of possible outcomes: Two bags each contain a red, green and purple toy. You choose one toy from each bag.

Draw the sample space and determine how many possible outcomes are there: You are playing a game with a 4 section spinner (1, 2, 3, 4) and a coin. You spin the spinner and flip the coin.

Jack does 3/5 of the chores around the house and Jill does the rest. If 35% of Jack's jobs are finished properly and 55% of Jill's jobs are finished properly, find the probability that a job done around the house will be done properly.

Jack does 3/5 of the chores around the house and Jill does the rest. If 35% of Jack's jobs are finished properly and 55% of Jill's jobs are finished properly, find the probability that a job done around the house will be done by Jill if it was not done properly.

Max travels to school each day by bicycle, by bus or by car. The probability that he travels by bus on any day is 0.6. The probability that he travels by bicycle on any day is 0.3. Draw a tree diagram which shows the possible outcomes for Max's journeys on Monday and Tuesday. What is the probability he travels by bicycle on Monday and Tuesday?

Max travels to school each day by bicycle, by bus or by car. The probability that he travels by bus on any day is 0.6. The probability that he travels by bicycle on any day is 0.3. Draw a tree diagram which shows the possible outcomes for Max's journeys on Monday and Tuesday. What is the probability he travels by bicycle on Monday and by bus on Tuesday?

Max travels to school each day by bicycle, by bus or by car. The probability that he travels by bus on any day is 0.6. The probability that he travels by bicycle on any day is 0.3. Draw a tree diagram which shows the possible outcomes for Max's journeys on Monday and Tuesday. What is the probability he travels by the same method of transportation on Monday and Tuesday?

Are these events independent or dependent? Tossing a coin and rolling a die.

Are these events independent or dependent? Purchasing a car then purchasing a sweater.

Are these events independent or dependent? Draw a card from a deck twice (after replacement).

Are these events independent or dependent? Surveying a group of people and finding out how many women are against gun rights.

Are these events independent or dependent? Picking a card from the deck twice (without replacement).

Let P(C)=0.4, P(D)=0.5 and P(C|D)=0.6. Find the probability of P(C and D).

Let P(C)=0.4, P(D)=0.5 and P(C|D)=0.6. Are C and D mutually exclusive?

Let P(C)=0.4, P(D)=0.5 and P(C|D)=0.6. Are C and D independent events?

Let P(C)=0.4, P(D)=0.5 and P(C|D)=0.6. Find P(C or D).

Let P(C)=0.4, P(D)=0.5 and P(C|D)=0.6. Find P(D|C).

Max travels to school each day by bicycle, by bus or by car. The probability that he travels by bus on any day is 0.6. The probability that he travels by bicycle on any day is 0.3. Draw a tree diagram which shows the possible outcomes for Max's journeys on Monday and Tuesday. What is the probability that in any three days Max travels twice by car and once by bus or twice by bicycle and once by car?

On a walk I count 70 rabbits, 42 are female and 34 are not eating carrots and 23 are female and not eating carrots. Draw a Venn diagram and find the number that are both females and eating carrots.

On a walk I count 70 rabbits, 42 are female and 34 are not eating carrots and 23 are female and not eating carrots. What is the probability that a rabbit is female given that it is eating carrots?

On a walk I count 70 rabbits, 42 are female and 34 are not eating carrots and 23 are female and not eating carrots. Is being a female independent of eating carrots? Can you justify your answer?

Is the following problem a permutation or combination? Practice explaining why you know.

Using all the letters of the word GIFT, how many distinct spellings can be formed.

Is the following problem a permutation or combination? Practice explaining why you know.

Find out how many distinct three-digit numbers can be formed using all the digits of 1, 2, and 3.

Is the following problem a permutation or combination? Practice explaining why you know.

In how many different ways can five friends sit for a photograph of five chairs in a row?

Is the following problem a permutation or combination? Practice explaining why you know.

In how many ways can the letters of the word BEAUTY be arranged?

Is the following problem a permutation or combination? Practice explaining why you know.

How many ways can a coach choose three swimmers from his team of 5?

Is the following problem a permutation or combination? Practice explaining why you know.

In a lottery, each ticket has 5 one-digit numbers (0-9) on it. You can win if your ticket has the digits in any order. What are your chances of winning?

Is the following problem a permutation or combination? Practice explaining why you know.

In a lottery, each ticket has 5 one-digit numbers (0-9) on it. You can win only if your ticket has the digits in the required order. What are your chances of winning?

Is the following problem a permutation or combination? Practice explaining why you know.

A bucket contains the following marbles: 4 red, 3 blue, 4 green and 3 yellow. Each marble is labeled with a number so they can be distinguished. How many sets of 4 marbles are there in which at least 2 are red?