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Using conditional probability, it is found that there is a 0.052 = 5.2% probability that a randomly chosen U. S. President is left-handed and a democrat.
<h3>What is Conditional Probability?</h3>Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: President is left-handed.
- Event B: President is a democrat.
Researching the problem on the internet, it is found that:
- 40% of the presidents were left-handed, hence P(A) = 0.4.
- If a president is left-handed, there is a 13% chance that the president is a Democrat, hence P(B|A) = 0.13.
Then:
0.052 = 5.2% probability that a randomly chosen U. S. President is left-handed and a democrat.
You can learn more about conditional probability at brainly.com/question/15536019
Answer:
Explanation:
If you multiply (x - k)(x + k), you get which is equal to
. Now you can see that
must be equal to
which is equal to
. Now we just need to solve
. The final answer is
.