Find the Probability of One Event and a Second Event Occurring
-An urn contains balls numbered 1 through 20 . A ball is chosen, returned to the urn, and a second ball i chosen. What is the probability that the first and second balls will be a 6 ?
A) $\frac { 1 } { 400 }$
B) $\frac { 1 } { 10 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 3 } { 20 }$

Question

Quizplus · Accepted Answer

The probability of choosing a 6 on the first draw is $\frac{1}{20}$, and since the ball is returned, the probability of choosing a 6 on the second draw is also $\frac{1}{20}$. Multiplying these probabilities gives $\frac{1}{20} \times \frac{1}{20} = \frac{1}{400}$.

Find the Probability of One Event and a Second Event 1400\frac { 1 } { 400 }4001​

Find the Probability of One Event and a Second Event $\frac { 1 } { 400 }$