Find the requested probability.
-A box contains the eleven letters PROBABILITY. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is TAIL?
A) $\frac { 5 } { 11 }$
B) $\frac { 1 } { 3960 }$
C) $\frac { 2 } { 14641 }$
D) $\frac { 2051 } { 3960 }$

Question

Find the requested probability.
-A box contains the eleven letters PROBABILITY. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is TAIL? 
A) $\frac { 5 } { 11 }$
B) $\frac { 1 } { 3960 }$
C) $\frac { 2 } { 14641 }$
D) $\frac { 2051 } { 3960 }$

Quizplus · Accepted Answer

The probability of drawing each letter is independent and is determined by the number of times that letter appears in the word "PROBABILITY" divided by the total number of letters. The word "TAIL" requires drawing T (1/11), A (1/11), I (2/11), and L (1/11) in that order. The probability is the product of these probabilities: (1/11) * (1/11) * (2/11) * (1/11) = 2/14641.

Find the Requested Probability 511\frac { 5 } { 11 }115​

Find the Requested Probability $\frac { 5 } { 11 }$