A bag contains twelve numbered balls. A player is eliminated from a game if the number 3 or number 11 ball is drawn at random. What is the probability of a player not being eliminated in simplest form?
Question
A bag contains twelve numbered balls. A player is eliminated from a game if the number 3 or number 11 ball is drawn at random. What is the probability of a player not being eliminated in simplest form?
Solution
To solve this problem, we need to understand the basics of probability.
Step 1: Identify the total number of outcomes. In this case, there are 12 balls, so there are 12 possible outcomes.
Step 2: Identify the number of successful outcomes. In this case, a successful outcome is drawing a ball that is not number 3 or 11. So, we subtract the 2 balls (3 and 11) from the total number of balls. This gives us 10 successful outcomes.
Step 3: Calculate the probability. The probability of an event is given by the ratio of the number of successful outcomes to the total number of outcomes. So, the probability of not being eliminated is 10/12.
Step 4: Simplify the fraction. The fraction 10/12 can be simplified to 5/6.
So, the probability of a player not being eliminated is 5/6.
Similar Questions
A bag contains twelve balls labeled 1 through 12. One ball will be randomly picked.What is the probability of picking an even number?Write your answer as a fraction in simplest form.
A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction.2 points3/81/33/103/11
There are one white ball and one black ball in a bag and we take a ball randomly at a time. If it is a white ball, we put three white balls back into the bag, until we get the black ball. What is the probability that we don’t get the black ball by two draws?
In a bag, there are 8 red, 10 blue and 12 green balls. A ball is picked randomly from the bag and 5 blue balls are added to the bag. Now, one ball is picked randomly from the bag. What is the probability that the first ball picked is red and the second ball picked is blue?
A bag contains 3 black, 4 red, 3 yellow, and 2 green marbles. What is the probability of drawing a black and then a red marble out of the bag without replacing the black marble before drawing the red marble? Answer options with 5 options A. StartFraction 1 over 144 EndFraction B. StartFraction 1 over 11 EndFraction C. StartFraction 1 over 12 EndFraction D. StartFraction 7 over 12 EndFraction E. StartFraction 27 over 44 EndFraction
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.