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What is the probability of selecting two red balls if the first ball drawn is returned to the jar before the second ball is drawn What if the first ball is not returned?

Posted on August 12, 2022 by Author

What is the probability of selecting two red balls if the first ball drawn is returned to the jar before the second ball is drawn What if the first ball is not returned?

On your first pick, the probability is 11/16 that you choose a red ball. On the second pick, the probability is 10/15 that you choose a red ball. So 11/16*10/15 = 110/240 = 45.83\% chance of picking two red balls in a row.

What is the probability of getting a red ball randomly?

If we randomly select a ball from the box: The chance of drawing a red ball is 2/6 = 1/3. The chance of drawing a green ball is 4/6 = 2/3.

What is the probability of getting a king in a well shuffled pack of 52 cards?

4 Kings (2 red and 2 black), 4 Queens (2 red and 2 black). Therefore, the probability of finding a non-face card in a well shuffled deck of 52 playing cards is 1013 . The probability of finding either a black king or a red queen in a well shuffled deck of 52 playing cards is 113.

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What is the probability that the second ball will be red?

Thus, the difference (if any) comes from the probability of the second ball. Suppose that you choose Box A. Assume that your first ball was red. Then Box A currently contains 4 red balls and 5 blue ball. Hence the probability that the second ball is red is 4 / 9.

How many blue and red balls are there in the box?

A box contains 5 blue and 4 red balls. Two balls are drawn successively from the box without replacement, and it is noted that the second one is red. What is the probability that the first is also red?

What is the conditional probability $p(R_2 \\mid r_1)$?

Now, if the first ball is red, then the rest are three blue balls and one red ball. Hence the conditional probability $P(R_2 \\mid R_1)$ is given by $P(R_2 \\mid R_1) = 1/4$.

How many balls are in each box in the lottery?

More specifically, Box A has 5 red balls and 5 blue balls. Box B has 20 red balls and 20 blue balls. You choose one box. Then draw two balls randomly from the chosen box without replacement, that is, you will not return the first ball into the box before picking up the second ball.

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