Find the requested probability.
-A box contains the six letters SAMPLE. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is LEAP?
A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 360 }$
C) $\frac { 19 } { 20 }$
D) $\frac { 1 } { 1296 }$

Question

Find the requested probability.
-A box contains the six letters SAMPLE. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is LEAP? 
A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 360 }$
C) $\frac { 19 } { 20 }$
D) $\frac { 1 } { 1296 }$

Quizplus · Accepted Answer

Since each letter is drawn with replacement, the probability of drawing each specific letter is $ \frac{1}{6} $. For the sequence LEAP, the probability is $ \left(\frac{1}{6}\right)^4 = \frac{1}{1296} $.

Find the Requested Probability 23\frac { 2 } { 3 }32​

Find the Requested Probability $\frac { 2 } { 3 }$