2) A baseball pitcher threw 3848 pitches during part of a recent season. Of these, 1372 were thrown with no strikes on the batter, 961 were thrown with one strike, and 1515 were thrown with two strikes. Find the following: a) P(A baseball pitch is thrown with no strikes) = b) P(A baseball pitch thrown with fewer than two strikes)=D_
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![2) A baseball pitcher threw 3848 pitches during part of a recent season. Of these, 1372 were thrown
with no strikes on the batter, 961 were thrown with one strike, and 1515 were thrown with two
strikes.
Find the following:
a) P(A baseball pitch is thrown with no strikes) =
b) P(A baseball pitch thrown with fewer than two strikes)=.
3) In a survey 46,281 women were asked how many children they had. The results were as follows.
Number of children
3
4
5
8 or more
Number of women
12,574
7,493
11.282
7,124
3,778
1,811
924
523
772
a) P(sampled woman has exactly 4 children)?
b) P(Sampled woman has more than 3 children)?
c) Assume this is a simple random sample of U.S. women. Use the Empirical Method to estimate the
probability that a woman has more than seven children.
d) Using a cutoff of 0.05, is it unusual for a woman in the survey to have no children?
(Hint: Find the probability the woman has no children.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee2ae364-771f-45bd-b209-8324b52afa76%2F7f1b5322-ac7e-4f3f-a752-ae253e988c3a%2Fcbx2nvl_processed.jpeg&w=3840&q=75)
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