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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: Multiplication theorem for dependent Events

Grade: 9-a Lesson: S3-L8

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 contains 18 white balls and 9 black balls. If 2 balls are drawn consecutively without replacement, then find the probability that the second ball is black and the first one is white by using multiplication dependent theorem.	A) 3/13 B) 4/13 C) 5/13 D) 6/13
Steps 2	Consider the experiment of choosing a card from a deck, keeping it, and then choosing a second card from the deck. Let event be getting a diamond in the first draw and event be getting a red card in the second draw then find the probability by using mutliplication dependent theorem.	A) 31/204 B) 29/204 C) 27/204 D) 25/204
Steps 3	An urn contains 4 red balls and 3 green balls. Bob is going to randomly select 2 balls from the urn, without replacement, then find the probability that he chooses 2 red balls by using multiplication dependent theorem.	A) 0.224 B) 0.226 C) 0.228 D) 0.229
Steps 4	A deck of cards contains 26 black cards and 26 red cards. Debbie is going to randomly select 2 cards from the deck, without replacement. What is the probability that she chooses 2 red cards by using multiplication dependent theorem.	A) 0.247 B) 0.245 C) 0.246 D) 0.249
Steps 5	A bug stands on the topmost vertex of the pentagonal trapezohedron Every 10 seconds, the bug selects an adjacent edge at random, and moves along it to another vertex. What is the probability that the bug will be on the bottom vertex after 30 seconds by using multiplication dependent theorem.	A) 5/9 B) 4/9 C) 2/9 D) 7/9

Problem Id

Question

Options

Steps 1

A bag contains 18 white balls and 9 black balls. If 2 balls are drawn consecutively without replacement, then find the probability that the second ball is black and the first one is white by using multiplication dependent theorem.

A) 3/13
B) 4/13
C) 5/13
D) 6/13

Steps 2

Consider the experiment of choosing a card from a deck, keeping it, and then choosing a second card from the deck. Let event be getting a diamond in the first draw and event be getting a red card in the second draw then find the probability by using mutliplication dependent theorem.

A) 31/204
B) 29/204
C) 27/204
D) 25/204

Steps 3

An urn contains 4 red balls and 3 green balls. Bob is going to randomly select 2 balls from the urn, without replacement, then find the probability that he chooses 2 red balls by using multiplication dependent theorem.

A) 0.224
B) 0.226
C) 0.228
D) 0.229

Steps 4

A deck of cards contains 26 black cards and 26 red cards. Debbie is going to randomly select 2 cards from the deck, without replacement. What is the probability that she chooses 2 red cards by using multiplication dependent theorem.

A) 0.247
B) 0.245
C) 0.246
D) 0.249

Steps 5

A bug stands on the topmost vertex of the pentagonal trapezohedron Every 10 seconds, the bug selects an adjacent edge at random, and moves along it to another vertex. What is the probability that the bug will be on the bottom vertex after 30 seconds by using multiplication dependent theorem.

A) 5/9
B) 4/9
C) 2/9
D) 7/9