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1.) Which pair has equally...

1.) Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).

A.) drawing a black two out of a standard 52 card deck given it’s not a face card or an Ace.

B.)drawing a six out of a standard 52 card deck given it’s not a face card or an Ace.

C.) rolling a sum of 7 on two fair six sided dice

D.)rolling a sum of 3 on two fair six sided dice

E.) rolling a sum of 10 on two fair six sided dice

2.) A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.

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

*Construct a tree diagram to represent this situation

*List the sample space.

*Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

3.)Show all work. A disc jockey has 11 songs to play. Eight are slow songs, and three are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 11 songs if

The songs can be played in any order.

The first song must be a slow song and the last song must be a slow song.

The first two songs must be fast songs.

4.) Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region.

In the first circle is 50 and in the 2nd circle is 80 and it is overlapping with 30.

Determine

n(A)

n(B)

P(A)

P(B)

P(A|B)

P(B|A)

5.)Show all work. Mary purchased a package of 15 different plants, but she only needed 10 plants for planting. In how many ways can she select the 10 plants from the package to be planted?

A.) drawing a black two out of a standard 52 card deck given it’s not a face card or an Ace.

B.)drawing a six out of a standard 52 card deck given it’s not a face card or an Ace.

C.) rolling a sum of 7 on two fair six sided dice

D.)rolling a sum of 3 on two fair six sided dice

E.) rolling a sum of 10 on two fair six sided dice

2.) A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.

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

*Construct a tree diagram to represent this situation

*List the sample space.

*Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

3.)Show all work. A disc jockey has 11 songs to play. Eight are slow songs, and three are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 11 songs if

The songs can be played in any order.

The first song must be a slow song and the last song must be a slow song.

The first two songs must be fast songs.

4.) Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region.

In the first circle is 50 and in the 2nd circle is 80 and it is overlapping with 30.

Determine

n(A)

n(B)

P(A)

P(B)

P(A|B)

P(B|A)

5.)Show all work. Mary purchased a package of 15 different plants, but she only needed 10 plants for planting. In how many ways can she select the 10 plants from the package to be planted?

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