Probability problems

digitalis77 · #1 $Old$ 04-30-2008, 08:56 PM

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.

I need some affirmation......please!!

CaptainBlack · #2 $Old$ 05-01-2008, 12:40 AM

Quote:

Originally Posted by digitalis77 $View Post$

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 $J=\{J_1,\ J_2,\ .... \ J_{50}\}$ then the sample space is:

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

Quote:

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.

I need some affirmation......please!!

In general the sample space is the set of all posssible outcomes of the experiment.

RonL

digitalis77 · #3 $Old$ 05-01-2008, 07:25 PM

Can you possibly go through the other ones with me too? Also can you explain it in the simplest terms possible, I have a hard time with this stuff.