A spinner has numbers 1-7 marked equally on the face. If the spinner is spun 4 times, what is the probability of getting a 6, a 5, a 1 and a 4?
A) $\frac { 1 } { 2,399 }$
B) $\frac { 1 } { 2,401 }$
C) $\frac { 1 } { 2,406 }$
D) $\frac { 1 } { 2,404 }$
E) $\frac { 1 } { 2,394 }$

Question

A spinner has numbers 1-7 marked equally on the face. If the spinner is spun 4 times, what is the probability of getting a 6, a 5, a 1 and a 4?
A) $\frac { 1 } { 2,399 }$
B) $\frac { 1 } { 2,401 }$
C) $\frac { 1 } { 2,406 }$
D) $\frac { 1 } { 2,404 }$
E) $\frac { 1 } { 2,394 }$

Quizplus · Accepted Answer

The probability of getting any specific number on a single spin is $\frac{1}{7}$ because there are 7 equally likely outcomes. Since the spinner is spun 4 times to get a 6, a 5, a 1, and a 4 in any order, the probability is $\left(\frac{1}{7}\right)^4 = \frac{1}{2401}$.

A Spinner Has Numbers 1-7 Marked Equally on the Face 12,399\frac { 1 } { 2,399 }2,3991​

A Spinner Has Numbers 1-7 Marked Equally on the Face $\frac { 1 } { 2,399 }$