1. ## Probability problems

1) For each of the random experiments below, determine the size of the sample space.

a) Twelve people are randomly selected from a group of 50 to serve on a trial jury.

b) A fair six sided die is tossed ten times and the resulting sequence of outcomes is recorded.

c) Cards numbered 1-13 are well shuffled and 5 cards are drawn and placed in a row from left to right.

d) A fair coin is tossed, a fair six-sided die is tossed, and three cards are drawn one at a time and without replacement from a standard 52 card poker deck. The sequence of outcomes is recorded.

2. Originally Posted by digitalis77
1) For each of the random experiments below, determine the size of the sample space.

a) Twelve people are randomly selected from a group of 50 to serve on a trial jury.
The sample space is the set of all juries of 12 selected from the group of 50.

So if the set of 50 potential jurors is $\displaystyle J=\{J_1,\ J_2,\ .... \ J_{50}\}$ then the sample space is:

$\displaystyle S=\{s:s\subset J \mbox{ and } |s|=12 \}$

b) A fair six sided die is tossed ten times and the resulting sequence of outcomes is recorded.

c) Cards numbered 1-13 are well shuffled and 5 cards are drawn and placed in a row from left to right.

d) A fair coin is tossed, a fair six-sided die is tossed, and three cards are drawn one at a time and without replacement from a standard 52 card poker deck. The sequence of outcomes is recorded.