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A mini license plate for...

A mini license plate for a toy car must consist of two numbers followed by a letter. Each number must be a 5, 7 or 9. Each letter must be a C, A or N. Repetition of digits is NOT permitted.

1. Use the counting principle to determine the number of points in the sample space.

2. Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox.

3. List the sample space.

4. Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.

7. A card is selected from a standard deck of 52 playing cards. Find the probability of selecting

1. a three given the card is a not a face card. (An ace is not a face card.)

2. a four, given that the card is not a diamond.

3. a Jack given the card is not a face card. (An ace is not a face card.)

Show step by step work. Give all solutions exactly in reduced fraction form.

10.

Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.

1. rolling a total of 4 on two fair six sided dice

2. drawing a black seven out of a standard 52 card deck given it's not a face card or an ace.

3. rolling a total of 11 on two fair six sided dice

4. rolling a total of 7 on two fair six sided dice

5. drawing a three out of a standard 52 card deck given it's not a face card or an ace.

11. In how many different ways can the top nine new indie bands be ranked on a top nine list? The top hit song for each of the nine bands will compete to receive monetary awards of $1000, $500 and $250, respectively. In how many ways can the awards be given out?

12. How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 11 applicants for an interview?

1. Use the counting principle to determine the number of points in the sample space.

2. Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox.

3. List the sample space.

4. Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.

7. A card is selected from a standard deck of 52 playing cards. Find the probability of selecting

1. a three given the card is a not a face card. (An ace is not a face card.)

2. a four, given that the card is not a diamond.

3. a Jack given the card is not a face card. (An ace is not a face card.)

Show step by step work. Give all solutions exactly in reduced fraction form.

10.

Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.

1. rolling a total of 4 on two fair six sided dice

2. drawing a black seven out of a standard 52 card deck given it's not a face card or an ace.

3. rolling a total of 11 on two fair six sided dice

4. rolling a total of 7 on two fair six sided dice

5. drawing a three out of a standard 52 card deck given it's not a face card or an ace.

11. In how many different ways can the top nine new indie bands be ranked on a top nine list? The top hit song for each of the nine bands will compete to receive monetary awards of $1000, $500 and $250, respectively. In how many ways can the awards be given out?

12. How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 11 applicants for an interview?

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