# Lesson 7 - Multiplication Of Probabilities And Independent Events

12 Questions | Total Attempts: 45  Settings  Lesson 7 Quiz - Multiplication of Probabilities and Independent Events. Please go through the lesson before attempting the quiz. This quiz has 10 questions. There will not be any time limit for this quiz and answer all questions. You need to answer at least 7 questions correctly in order to pass the quiz. Please acknowledge by entering you name before attempting the quiz. Good luck!

• 1.
Box A contains 15 balls - 4 blue balls, 5 red balls and 6 yellow balls. Box B contains 10 balls - 3 blue balls and 7 red balls. One ball is removed at random from each box.Find the probability that the ball remove from Box A is red and the ball remove from Box B is blue.
• A.

1 / 10

• B.

4 / 15

• C.

19 / 30

• D.

11 / 15

• 2.
Box A contains 15 balls - 4 blue balls, 5 red balls and 6 yellow balls. Box B contains 10 balls - 3 blue balls and 7 red balls. One ball is removed at random from each box.Find the probability that one red ball and one blue ball are removed.
• A.

1 / 10

• B.

14 / 75

• C.

19 / 25

• D.

43 / 150

• 3.
Box A contains 15 balls - 4 blue balls, 5 red balls and 6 yellow balls. Box B contains 10 balls - 3 blue balls and 7 red balls. One ball is removed at random from each box.Find the probability that same coloured balls are removed.
• A.

19 / 150

• B.

39 / 150

• C.

47 / 150

• D.

53 / 150

• 4.
Box A contains 15 balls - 4 blue balls, 5 red balls and 6 yellow balls. Box B contains 10 balls - 3 blue balls and 7 red balls. One ball is removed at random from each box.Find the probability that one of the balls is yellow.
• A.

2 / 5

• B.

3 / 25

• C.

6 / 25

• D.

7 / 25

• 5.
Box A contains 15 balls - 4 blue balls, 5 red balls and 6 yellow balls. Box B contains 10 balls - 3 blue balls and 7 red balls. One ball is removed at random from each box.Find the probability that balls of different colours are removed.
• A.

1 / 6

• B.

47 / 150

• C.

87 / 150

• D.

103 / 150

• 6.
A boy goes to school everyday. The probability that he will be late is 1/5. If he's late on the a particular day, the probability that he will be late on the next day will be half of the probability he will be late on that particular day.What is the probability that he will be late 2 consecutive days?
• A.

1 / 50

• B.

3 / 10

• C.

1 / 25

• D.

1 / 100

• 7.
A boy goes to school everyday. The probability that he will be late is 1/5. If he's late on the a particular day, the probability that he will be late on the next day will be 1/10.What is the probability that he will be late only on one of the 3 consecutive days?
• A.

18 / 125

• B.

48 / 125

• C.

52 / 125

• D.

54 / 125

• 8.
A boy goes to school everyday. The probability that he will be late is 1/5. If he's late on the a particular day, the probability that he will be late on the next day will be 1/10.What is the probability that he will be late twice for 3 consecutive days?
• A.

71 / 1000

• B.

43 / 500

• C.

31 / 250

• D.

3 / 50

• 9.
A container has 10 marbles - 2 red marbles, 3 blue marbles and 5 green marbles. Three marbles are drawn out of the container, one after another, without any replacement.What is the probability of drawing a red marble, followed by a blue marble and followed by a green marble?
• A.

1 / 24

• B.

1 / 4

• C.

3 / 8

• D.

11 / 24

• 10.
A container has 10 marbles - 2 red marbles, 3 blue marbles and 5 green marbles. Three marbles are drawn out of the container, one after another, without any replacement.What is the probability of drawing a red marble, blue marble and a green marble in no particular order?
• A.

1 / 24

• B.

1 / 4

• C.

3 / 8

• D.

11 / 24

• 11.
A container has 10 marbles - 2 red marbles, 3 blue marbles and 5 green marbles. Three marbles are drawn out of the container, one after another, without any replacement.What is the probability of drawing all marbles of same colour?
• A.

1 / 15

• B.

11 / 120

• C.

23 / 120

• D.

4 / 15

• 12.
A container has 10 marbles - 2 red marbles, 3 blue marbles and 5 green marbles. Three marbles are drawn out of the container, one after another, without any replacement.What is the probability of drawing no red marbles?
• A.

27 / 40

• B.

3 / 5

• C.

67 / 120

• D.

7 / 15

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