At a local grocery store, apples cost $0.50 each and bananas cost $0.30 each. The expression 0.50x + 0.30y can be used to find t
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Answer:
1)The theoretical probability that a coin toss results in two heads showing is 25%.
2)The experimental probability that a coin toss results in two heads showing is 44%.
3) The theoretical probability that a coin toss results in two tails showing is 25%.
4) The experimental probability that a coin toss results in two tails showing is 34%.
5) The theoretical probability that a coin toss results in one head and one tail showing is 50%.
6) The experimental probability that a coin toss results in a head and a tail is 22%.
7) The experimental probabilities are slightly different from the theoretical probabilities because the number of experiments is relatively small. As the number of experiments increase, the experimental probabilities will get closer to the theoretical probabilities.
Step-by-step explanation:
Probability:
What you want to happen is the desired outcome.
Everything that can happen iis the total outcomes.
The probability is the division of the number of possible outcomes by the number of total outcomes.
Theoretical Probability:
The results you expect to happen.
Experimental Probability:
The probability determined from the result of an experiment.
1. What is the theoretical probability that a coin toss results in two heads showing?
In each toss, the theoretical probability that a coin toss results in a head showing is 50%.
So for two coins, the probability is:
The theoretical probability that a coin toss results in two heads showing is 25%.
2. What is the experimental probability that a coin toss results in two heads showing?
There were 100 flips, and it resulted in two heads 44 times, so:
The experimental probability that a coin toss results in two heads showing is 44%.
3. What is the theoretical probability that a coin toss results in two tails showing?
In each toss, the theoretical probability that a coin toss results in a tail showing is 50%.
So for two tails, the probability is:
The theoretical probability that a coin toss results in two tails showing is 25%.
4. What is the experimental probability that a coin toss results in two tails showing?
There were 100 flips, and it resulted in two tails 34 times, so:
The experimental probability that a coin toss results in two tails showing is 34%.
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
In each toss, the theoretical probability that a coin toss results in a tail showing is 50% and in a head showing is 50%.
They can be permutated, as the tail can appear before the head, or the head before the tail. So:
The theoretical probability that a coin toss results in one head and one tail showing is 50%.
6. What is the experimental probability that a coin toss results in one head and one tail showing?
There were 100 flips, and it resulted in a head and a tail showing 22 times, so:
The experimental probability that a coin toss results in a head and a tail is 22%.
The question is incomplete. Here is the complete question:
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit 10 such targets in a row.
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:
40.13%
Step-by-step explanation:
Let 'A' be the event of not missing a target in 10 attempts.
Therefore, the complement of event 'A' is
Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.
Now,
We know that the sum of probability of an event and its complement is 1.
So,
Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.