Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 4 have spoiled. Complete parts (a) and (b) below. ..... (a) Use the following formula, where A,, A,,.Ak are events that can occur in an experiment. P(A, NA, n. NA) =P(A,)P(A2 IA,) P(A3 I A, NA2) • ••P(AxIA, NAz n. n Ax-1) ...F (Do not perform the calculation. Use integers or fractions for any numbers in the expression.) The probability is (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, together with the following formula, where A is the event of rl(n - r) 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.

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Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 4 have spoiled. Complete parts (a) and (b)
below.
(a) Use the following formula, where A,, A,.A, are events that can occur in an experiment.
P(A, NA n. NA)
-P(A,)P(A2 IA,) P(A3 I A, nAg)•* •P(Ax IA, nAz no. nAk-1)
(Do not perform the calculation. Use integers or fractions for any numbers in the expression.)
The probability is
(Type an integer or a simplified fraction.)
n
n!
(b) Use the formula for the number of combinations of n distinct objects taken r at a time,
together with the following formula, where A is the event of
r!(n – r)!
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.
n
P(A) =
N
(Type an integer or a fraction. Do not simplify.)
The probability is
(Type an integer or a simplified fraction.)
Transcribed Image Text:Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 4 have spoiled. Complete parts (a) and (b) below. (a) Use the following formula, where A,, A,.A, are events that can occur in an experiment. P(A, NA n. NA) -P(A,)P(A2 IA,) P(A3 I A, nAg)•* •P(Ax IA, nAz no. nAk-1) (Do not perform the calculation. Use integers or fractions for any numbers in the expression.) The probability is (Type an integer or a simplified fraction.) n n! (b) Use the formula for the number of combinations of n distinct objects taken r at a time, together with the following formula, where A is the event of r!(n – r)! 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. n P(A) = N (Type an integer or a fraction. Do not simplify.) The probability is (Type an integer or a simplified fraction.)
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