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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: Baye’s theorem

Grade: 9-a Lesson: S3-L7

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Question	Options
Steps 1	A bag I contains 4 white and 6 black balls while another Bag II contains 4 white and 3 black balls. One ball is drawn at random from one of the bags, and it is found to be black. Find the probability that it was drawn from Bag I by using bayes theorem.	A) 5/12 B) 11/12 C) 9/12 D) 7/12
Steps 2	A man is known to speak the truth 2 out of 3 times. He throws a die and reports that the number obtained is a four. Find the probability that the number obtained is actually a four by using bayes theorem.	A) 2/7 B) 3/7 C) 4/7 D) 5/7
Steps 3	Two urns contain respectively 2 red, 3 white, and 3 red, 5 white balls. One ball is drawn at random from the first urn and transferred into the second one. A ball is then drawn from the second urn and it turns out that the ball is red. What will be the probability that the transferred ball was white by using bayes theorem.	A) 10/17 B) 9/17 C) 8/17 D) 7/17
Steps 4	Kiran has two bags. Bag I has 7 red and 2 blue balls and bag II has 5 red and 9 blue balls. Amy draws a ball at random and it turns out to be red. Find the probability that the ball was from the bag I using the Bayes theorem.	A) 0.70 B) 0.68 C) 0.64 D) 0.72
Steps 5	A man is known to speak the truth 3/4 times. He draws a card and reports it is king, then find the probability that it is actually a king by using bayes theorem.	A) 7/2 B) 5/2 C) 3/2 D) 1/2

Problem Id

Question

Options

Steps 1

A bag I contains 4 white and 6 black balls while another Bag II contains 4 white and 3 black balls. One ball is drawn at random from one of the bags, and it is found to be black. Find the probability that it was drawn from Bag I by using bayes theorem.

A) 5/12
B) 11/12
C) 9/12
D) 7/12

Steps 2

A man is known to speak the truth 2 out of 3 times. He throws a die and reports that the number obtained is a four. Find the probability that the number obtained is actually a four by using bayes theorem.

A) 2/7
B) 3/7
C) 4/7
D) 5/7

Steps 3

Two urns contain respectively 2 red, 3 white, and 3 red, 5 white balls. One ball is drawn at random from the first urn and transferred into the second one. A ball is then drawn from the second urn and it turns out that the ball is red. What will be the probability that the transferred ball was white by using bayes theorem.

A) 10/17
B) 9/17
C) 8/17
D) 7/17

Steps 4

Kiran has two bags. Bag I has 7 red and 2 blue balls and bag II has 5 red and 9 blue balls. Amy draws a ball at random and it turns out to be red. Find the probability that the ball was from the bag I using the Bayes theorem.

A) 0.70
B) 0.68
C) 0.64
D) 0.72

Steps 5

A man is known to speak the truth 3/4 times. He draws a card and reports it is king, then find the probability that it is actually a king by using bayes theorem.

A) 7/2
B) 5/2
C) 3/2
D) 1/2