Probabilities
Cards
1. Find the probability of picking the King of Hearts.
Experiment
a) Pick a card c) Put it back
b) Record your results d) Repeat for 10 trials total.
Trial Result
1
2
3
4
5
6
7
8
9
10
e) What is the probability of getting the King of Hearts?
Paper and Pencil
a) How many outcomes are there (how many cards are there)?
b) How many King of Hearts are there?
c) What is the probability of picking the King of Hearts?
2. What is the probability of picking two red cards when you put the card back between
draws?
Experiment
a) Pick a card d) Pick another card
b) Record the results e) Record the results
c) Put it back f) Repeat a) to e) for 10 trials.
Trial Result of first draw Result of second draw
1
2
3
4
5
6
7
8
9
10
g) What is the probability of picking two red cards?
Paper and Pencil
a) What is the probability of picking a red card on the first draw? (do not multiply by
100 yet)
b) What is the probability of picking a red card on the second draw? (do not multiply by
100 yet)
c) When you multiply the two numbers together, you get the probability of picking two
red cards. (Now multiply by 100)
3. What is the probability of picking the Jack of Diamonds and the Ace of Clubs?
Experiment
a) Pick a card d) Record the results
b) Put it back e) Repeat a) to d) for 10 trials.
c) Pick another card
Trial Result of first draw Result of second draw
1
2
3
4
5
6
7
8
9
10
f) What is the probability of picking the Jack of Diamonds and the Ace of Clubs?
Paper and Pencil
g) What is the probability of picking a Jack of Diamonds or the Ace of Clubs on the first
draw? (do not multiply by 100 yet)
h) What is the probability of picking the other card on the second draw? (do not
multiply by 100 yet)
i) When you multiply the two numbers together, you get the probability of picking the
Jack of Diamonds and the Ace of Clubs. (Now multiply by 100)
Bonus:
Were your probabilities you calculated from the experiments the same as the probabilities
you calculated using paper and pen? Why or why not?
Looking at the questions using two cards, which question is an independent situation and
which question is a dependent situation?