# Theoretical and Experimental Probability

```MBF3C1 – Probability
Name: _______________________
Worksheet - Theoretical and Experimental Probability
1.
Write the following probabilities as decimals and percents.
Decimal
Percent
What the probability of drawing a diamond from a deck of 52
playing cards?
Jermaine has won 4 out of 10 races. What is the probability
that he will his next race?
Natasha has sunk 13 out of 20 basketball free throws. What
is the probability that she will sink her next free throw?
A bag of marbles has 32 blue and 18 red marbles in it. What
is the probability of drawing a red marble?
2. Describe a simulation that would estimate the probability of having 3 girls in a family of 3
children. Be specific in your description.
3. An event occurs every 8 out of 19 times on average during a simulation. What is the
experimental probability of this event?
4. a)
The probability of producing a faulty widget is 0.001. If 100 000 widgets are produced,
how many might be expected to be faulty?
b) The probability that medication will cure a certain disease is 92%. From 300 patients with
this disease, how many might we expect to cure?
c) An ad says “65% of dentists recommend Brand X Toothpaste”. If 500 dentists were
surveyed, how many recommend Brand X?
5.
In tossing a coin, the theoretical possibility of tossing a head is &frac12;.
a. Toss a coin 20 times. Complete the frequency chart below.
Result
Tally
Frequency
Tails
b. Calculate the experimental probability of tossing a head based on the above result.
c. How does the experimental probability of your coin toss results compare to the
theoretical probability?
6.
In rolling a die, the theoretical possibility of rolling an odd number is
3
1
or .
6
2
a. Roll a die 20 times. Complete the frequency chart.
Result
Tally
Frequency
Even Number
Odd Number
b. Calculate the experimental probability of an odd number based on the above
results.
c. How does the experimental probability of your die rolling results compare to the
theoretical probability of rolling an odd number?
7.
In rolling a die, the theoretical possibility of rolling a number divisible by 3 is 33%
a. Roll a die 20 times. Complete the frequency chart below.
Result
Tally
Frequency
1, 2, 4, 5
3, 6
b. Calculate the experimental probability of a number divisible by 3 based on the
above results.
c. How does the experimental probability of your die rolling results compare to the
theoretical probability of rolling a number divisible by 3?
8.
A deck of 52 playing cards is used in each of the following questions. What is the
theoretical probability of drawing (in lowest terms):
Result