Conditional Probability

The video tutorial explains how to calculate the probability of obtaining an odd total when selecting three counters from a bag of eight. It covers the initial setup, the reduction of the denominator as counters are selected, and the calculation of probabilities for different combinations of odd and even counters. The tutorial concludes with a final probability calculation and a discussion on the marks allocation for the problem.

What is the initial number of counters in the bag?

• 5

• 8

• 10

• 12

How many odd counters are there in the bag?

• 6

• 3

• 4

• 5

What is the probability of selecting three odd counters consecutively?

• 3/8

• 5/28

• 7/16

• 1/2

Which combination of counters results in an odd total?

• Even, Even, Even

• Odd, Odd, Even

• Even, Odd, Odd

• Odd, Even, Even

How many different ways can you select counters to get an odd total?

• 1

• 4

• 2

• 3

What is the simplified probability of getting an odd total from the combination of odds and evens?

• 3/8

• 10/28

• 15/56

• 5/14

What is the total probability of getting an odd sum from three counters?

• 25/56

• 20/56

• 15/28

• 30/56