Lesson 12-4 for exercise sets. &KDSWHU
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A dog has 4 puppies. What is the probability that exactly 2 puppies
in the litter of 4 are male?
To find the probability, you can simulate the problem by
tossing 4 coins. This assumes that the probability of a puppy being
a male or a female is equally likely.
Let H a male puppy.
Let T a female puppy.
The sample space below shows the results for 15 trials.
H H T T H T H H H T T T
T H T T H T T H T T H H
T T H T H H H T T H T H
T T T T H H H H T T T H
T H H T H T H T H H H H
P(exactly 2 male puppies)
So, according to the simulation, the experimental probability that exactly 2 puppies
in a litter of 4 are male is.
2
5
number of times there are exactly 2 males
number of trials
2
5
6
15
2
5
1
Sometimes you can simulate events to find experimental probabilities
and predict outcomes.
A is a mathematical experiment that is used to approximate
the results of a real-life situation. Models, such as coins, color cubes, and
spinners, can be used to simulate a situation.
simulation
Find each experimental probability. Write each probability as a fraction, a decimal,
and a percent. Write each fraction in simplest form.
1.100 coin tosses, 30 tails 2.500 coin tosses, 230 tails 3.45 coin tosses, 30 tails
P(tails) P(heads) P(tails)
4.Theresa is tallying the number of students who wear glasses at her school.
Of the first 25 students that enter the school, 11 are wearing glasses.
There are 800 students at Theresa’s school. Predict how many students
at the school wear glasses.
5.Discuss and Write Toss a coin 10 times, and record the number
of heads and the number of tails. Repeat the experiment,
increasing the number of trials to 25. Repeat the experiment
again, increasing the number of trials to 50. What do you notice
about the results of these experiments?
???