Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 6 have spoiled. Complete parts (a) and (b) below. (a) use the following omula, where A₁, A₂,...,Ak are events that can occur in an experiment. P(A₁ A₂ n... NAK) = P(A₁) P(A₂|A₁) P (A3 | A₁ A₂). •P(Ak | A₁ A₂ ••• AK-1) 14 13 12 20 19 18 17 (Do not perform the calculation. Use integers or fractions for any numbers in the expression.) 1001 The probability is 4845 (Type an integer or a simplified fraction.) n (b) Use the formula for the number of combinations of n distinct objects taken r at a time, (0) together with the following formula, where A is the event of interest, N is the number of different equally likely outcomes, and n is the number of outcomes which correspond to event A. Let A be the event that 4 quarts of unspoiled milk are taken from the cooler in succession. P(A) = (Type an integer or a fraction. Do not simplify.) n! r!(n-r)!'
Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 6 have spoiled. Complete parts (a) and (b) below. (a) use the following omula, where A₁, A₂,...,Ak are events that can occur in an experiment. P(A₁ A₂ n... NAK) = P(A₁) P(A₂|A₁) P (A3 | A₁ A₂). •P(Ak | A₁ A₂ ••• AK-1) 14 13 12 20 19 18 17 (Do not perform the calculation. Use integers or fractions for any numbers in the expression.) 1001 The probability is 4845 (Type an integer or a simplified fraction.) n (b) Use the formula for the number of combinations of n distinct objects taken r at a time, (0) together with the following formula, where A is the event of interest, N is the number of different equally likely outcomes, and n is the number of outcomes which correspond to event A. Let A be the event that 4 quarts of unspoiled milk are taken from the cooler in succession. P(A) = (Type an integer or a fraction. Do not simplify.) n! r!(n-r)!'
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with part b please

Transcribed Image Text:Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of
which 6 have spoiled. Complete parts (a) and (b) below.
(a) use the following commula, where A₁, A₂....Ak are events that can occur in an experiment.
P(A₁ A₂ n... NAK)
= P(A₁) P(A₂A₁) P(A3 | A₁ MA₂). • P(Ak | A₁ A₂ ••• Ak-1)
14
13 12
20 19 18 17
(Do not perform the calculation. Use integers or fractions for any numbers in the expression.)
1001
The probability is
4845
(Type an integer or a simplified fraction.)
n
(b) Use the formula for the number of combinations of n distinct objects taken r at a time,
0₁
together with the following formula, where A is the event of interest, N is the number of different equally
likely outcomes, and n is the number of outcomes which correspond to event A. Let A be the event that 4 quarts of
unspoiled milk are taken from the cooler in succession.
P(A)
=
n!
r!(n-r)!'
(Type an integer or a fraction. Do not simplify.)
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