Find the Probability of One Event or a Second Event Occurring
-One digit from the number $5,929,119$ is written on each of seven cards. What is the probability of drawing a card that shows 5,9 , or 2 ?
A) $\frac { 5 } { 7 }$
B) $\frac { 3 } { 7 }$
C) $\frac { 4 } { 7 }$
D) $\frac { 2 } { 7 }$

Question

Quizplus · Accepted Answer

The number 5,929,119 contains the digits 5, 9, and 2, which are the digits of interest. There are two 9s, three 1s, one 5, and one 2. Therefore, there are 2 (for 9) + 1 (for 5) + 1 (for 2) = 4 cards out of 7 that show a 5, 9, or 2. However, since the question asks for the probability of drawing a card that shows any of these digits and there are two 9s, the correct count of favorable outcomes is 2 (for 9) + 1 (for 5) + 1 (for 2) = 4, but the total number of cards is 7, and we are interested in the probability of drawing either of these digits, not the count. Given the misunderstanding in the explanation, the correct approach is to identify the total number of desired outcomes (4) and divide by the total number of outcomes (7), which indeed results in $\frac{4}{7}$, aligning with choice C, not A, based on the correct interpretation of the question.

Find the Probability of One Event or a Second Event 5,929,1195,929,1195,929,119

Find the Probability of One Event or a Second Event $5,929,119$