Find the probability of matching three of the four winning numbers. (ROUND YOUR ANSWER TO 8 DECIMAL PLACES.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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d. Find the probability of matching three of the four winning numbers. (ROUND YOUR ANSWER TO 8 DECIMAL PLACES.)

The game called Lotto sponsored by
the Louisiana Lottery Commission pays
its largest prize when a contestant
matches all four of the 41 possible
numbers. Assume there are 41 ping-
pong balls each with a single number
between 1 and 41. Any number appears
only once, and the winning balls are
selected without replacement.
a. The commission reports that the
probability of matching all the numbers
are 1 in 101,270. What is this in terms of
probability? (Round your answer to 8
decimal places.)
Probability
b. Use the hypergeometric formula to
find the probability of matching all 4
winning numbers. The lottery
commission also pays if a contestant
matches two or three of the four
winning numbers. Hint: Divide the 41
nımhare into tun
NYALISA
Transcribed Image Text:The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all four of the 41 possible numbers. Assume there are 41 ping- pong balls each with a single number between 1 and 41. Any number appears only once, and the winning balls are selected without replacement. a. The commission reports that the probability of matching all the numbers are 1 in 101,270. What is this in terms of probability? (Round your answer to 8 decimal places.) Probability b. Use the hypergeometric formula to find the probability of matching all 4 winning numbers. The lottery commission also pays if a contestant matches two or three of the four winning numbers. Hint: Divide the 41 nımhare into tun NYALISA
b. Use the
hypergeometric formula to
find the probability of matching all 4
winning numbers. The lottery
commission also pays if a contestant
matches two or three of the four
winning numbers. Hint: Divide the 41
numbers into two groups, winning
numbers and nonwinning numbers.
(Round your answer to 8 decimal
places.)
Probability
c. Find the probability, again using the
hypergeometric formula, for matching
two of the four winning numbers.
(Round your answer to 8 decimal
places.)
Probability
Transcribed Image Text:b. Use the hypergeometric formula to find the probability of matching all 4 winning numbers. The lottery commission also pays if a contestant matches two or three of the four winning numbers. Hint: Divide the 41 numbers into two groups, winning numbers and nonwinning numbers. (Round your answer to 8 decimal places.) Probability c. Find the probability, again using the hypergeometric formula, for matching two of the four winning numbers. (Round your answer to 8 decimal places.) Probability
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