A jar contains 12 red marbles numbered 1 to 12 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Round your answer to four decimal places. Find the probability that the marble is red: marble is odd-numbered: marble is red or blue:
Question
A jar contains 12 red marbles numbered 1 to 12 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Round your answer to four decimal places. Find the probability that the
marble is red:
marble is odd-numbered:
marble is red or blue:
Solution
Sure, let's solve these one by one:
- The probability that the marble is red:
There are 12 red marbles and a total of 20 marbles (12 red + 8 blue). So, the probability that the marble is red is the number of red marbles divided by the total number of marbles.
Probability = Number of red marbles / Total number of marbles = 12 / 20 = 0.6000
- The probability that the marble is odd-numbered:
There are 10 odd-numbered marbles (1, 3, 5, 7, 9, 11 from the red marbles and 1, 3, 5, 7 from the blue marbles). So, the probability that the marble is odd-numbered is the number of odd-numbered marbles divided by the total number of marbles.
Probability = Number of odd-numbered marbles / Total number of marbles = 10 / 20 = 0.5000
- The probability that the marble is red or blue:
Since all the marbles are either red or blue, the probability that the marble is red or blue is 1 or 100%.
Probability = Total number of marbles / Total number of marbles = 20 / 20 = 1.0000
Similar Questions
Suppose a jar contains 20 red marbles and 37 blue marbles. If 2 marbles are randomly chosen from the jar at the same time, find the probability that both marbles are red. Round your answer to four decimal places.
A jar contains 4 red marbles, 3 white marbles, and 8 blue marbles. Two marbles are randomly selected from the jar with replacement. Find the following probabilities. Leave your answer as a reduced fraction. A red marble and then a blue marble is randomly selected. A white marble and then a red marble is randomly selected.
Suppose a jar contains 6 red marbles and 29 blue marbles. If you reach in the jar and pull out 2 marbles at random without replacement, find the probability that both are red. Give your answer as a fraction or decimal out to at least 4 places.
A bag with 12 marbles has 5 red marbles, 3 blue marbles, and 4 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?Write your answer as a fraction in simplest form.
Find the probability. Please write your answer as a fraction.A jar contains five orange marbles numbered one to five. The jar also contains four green marbles numbered one to four. You randomly pick a marble. It is orange or has an odd number.Answer
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.