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Bootcamp for Question Type 6: Working with replacement - IB | RevisionDojo

IB
Question Type 6: Working with replacement

Question Type 6: Working with replacement Bootcamps

Question 1

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble at random and then replace it before drawing again. What is the probability that the first marble drawn is red?

Question 2

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble and do not replace it. What is the probability that you draw a red marble first and a green marble second?

Question 3

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble, replace it, and then draw a second marble. What is the probability that the first marble is red and the second marble is green?

Question 4

Skill question

What is the probability of drawing a red marble, then a green marble, then a red marble in three draws with replacement from the bag?

Question 1

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble at random and then replace it before drawing again. What is the probability that the first marble drawn is red?

Question 2

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble and do not replace it. What is the probability that you draw a red marble first and a green marble second?

Question 3

Skill question

A bag contains 3 red and 7 green marbles. You draw a marble, replace it, and then draw a second marble. What is the probability that the first marble is red and the second marble is green?

Question 4

Skill question

What is the probability of drawing a red marble, then a green marble, then a red marble in three draws with replacement from the bag?

Question 5

Skill question

What is the probability of drawing two red marbles followed by one green marble in three draws with replacement from the bag?

Question 6

Skill question

What is the probability of drawing two green marbles followed by one red marble in three draws without replacement from the bag?

Question 7

Skill question

What is the probability of drawing exactly two red marbles in three draws with replacement from the bag?

Question 8

Skill question

What is the probability of drawing at least one red marble in three draws with replacement from the bag?

Question 9

Skill question

What is the probability of drawing two red marbles followed by one green marble in three draws without replacement from the bag?

Question 10

Skill question

What is the probability of drawing exactly two red marbles in three draws without replacement from the bag?

Question 11

Skill question

What is the probability of drawing at least one red marble in three draws without replacement from the bag?

Question 12

Skill question

If you draw two marbles with replacement from the bag and the second marble is red, what is the probability that the first marble was also red?

Question 13

Skill question

If you draw two marbles without replacement from the bag and the second marble is red, what is the probability that the first marble was also red?

Question 14

Skill question

In $n$ draws with replacement from the bag, derive a formula for the probability of drawing exactly $r$ red marbles.