Part 1: Experimental Probabilities.

1. Using a standard deck of 52 playing cards, shuffle the deck well, then draw 10 cards. Record the number of diamonds. If you do not have a deck of playing cards go to random.org, under the games and lotteries link, choose playing card shuffler.
   Repeat this 27 more times (for a total of 28 trials) and record your data below. (10 pts)
   Draw # of Diamonds
   1
   2
   3
   4
   5
   6
   7
   8
   9
   10
   11
   12
   13
   14
   15
   16
   17
   18
   19
   20
   21
   22
   23
   24
   25
   26
   27
   28
2. Based on your experimental probabilities, find the probability of getting 0 – 10 diamonds. To do this count the number of trials where you drew 0 diamonds, 1 diamond, 2, etc. Fill out the following chart using your frequencies, then find the relative frequency. Leave answers in decimals rounded to 2 decimal places. (10 pts)

of diamonds Frequency Relative Frequency =

Freq/28
0
1
2
3
4
5
6
7
8
9
10

• Make sure your frequencies add to 28. 
Part 2: Theoretical Probabilities

1. What is the probability of drawing a card that is a diamond from a standard deck of 52 cards? (3 pts) Double check that this answer is correct before proceeding.

Answer: ____________

2. Using binomial probabilities (binompdf function on your calculator) find the following? (10 pts)

of diamonds in 10 draws Binomial Probability

binompdf(n, p, x)
0
1
2
3
4
5
6
7
8
9
10

• For extremely small probabilities (such as .00005), you can put 0+ in the chart.

3. (8 pts)
   Draw the probability histogram for your experimental probabilities.

Draw the probability histogram for your theoretical probabilities.

4. How do you experimental probabilities compare to your theoretical ones? (4 pts)
5. If you conducted your experiment 500 times what would you expect to happen? How would your experimental probabilities compare to your theoretical ones? (4 pts)