Probability and Counting Principles

The video tutorial explains how to use fundamental counting rules, permutations, and combinations to calculate probabilities in various scenarios. Examples include drawing aces from a deck of cards, finding defective transistors, purchasing magazines, and selecting married couples. The tutorial emphasizes the importance of understanding combinations and permutations in probability calculations.

What is the fundamental counting rule used for?

• To determine the mode of a data set

• To find the median of a data set

• To calculate the average of a set of numbers

• To determine the number of possible outcomes in a sequence of events

How many aces are there in a standard deck of cards?

• 8

• 2

• 4

• 6

What is the probability of drawing four aces from a deck of 52 cards?

• 1/10,000

• 1/1,000

• 1/100,000

• 1/54,145

In a box of 24 transistors, how many are defective?

• 8

• 6

• 4

• 2

What is the probability that exactly two transistors are defective when four are sold?

• 0.207

• 0.307

• 0.107

• 0.407

What is the probability that none of the transistors sold are defective?

• 0.2456

• 0.1456

• 0.3456

• 0.0456

What is the probability that all transistors sold are defective?

• 0.309

• 0.209

• 0.109

• 0.009

What is the probability that at least one transistor is defective?

• 0.844

• 0.744

• 0.644

• 0.544

How many TV graphic magazines are there in the store?

• 4

• 10

• 6

• 8

What is the probability of purchasing one TV graphic and one news time magazine?

• 0.827

• 0.727

• 0.627

• 0.527