In this section, we will review the definition of probability and the concept of probability of simple events, permutations, and combinations. We will start by discussing the definition of probability, which is the measure of how likely an event is to occur. We will then review examples of probability of simple events, permutations, and combinations.
We will begin by discussing the concept of probability of simple events. A simple event is an event that has only one outcome, such as a coin toss. The probability of a simple event is the number of ways the event can occur divided by the total number of outcomes. For example, if you toss a coin, the probability of getting heads is 1/2.
Next, we will discuss the concept of permutations and combinations. Permutations are the number of ways of arranging a set of objects in a particular order. For example, if you have three letters, A, B, and C, the number of permutations is 6, since you can arrange them in ABC, ACB, BAC, BCA, CAB, and CBA. Combinations, on the other hand, are the number of ways of selecting a subset of objects from a larger set. For example, if you have three letters, A, B, and C, the number of combinations is 3, since you can select either A, B, or C.
Finally, we will discuss how probability of simple events, permutations, and combinations are used in real world situations. Probability is used in many areas, such as weather forecasting, stock market predictions, and medical diagnosis. Permutations and combinations are also used in many areas, such as computer algorithms, cryptography, and game theory.
In this worksheet, you will practice applying the concept of probability of simple events. You will work through a variety of examples and problems, starting with easy ones and progressing to more challenging ones.
1. If a coin is flipped, what is the probability of it landing on heads?
2. What is the probability of rolling a 5 on a standard six-sided die?
3. If you randomly draw two cards from a standard deck of 52 playing cards, what is the probability you will draw two hearts?
1. You have a bag with 4 red marbles and 6 blue marbles. What is the probability of drawing a red marble from the bag?
2. You are playing a board game that consists of spinning a spinner with 8 equal sections. What is the probability of the spinner landing on the yellow section?
3. You are playing a game of chance that consists of rolling two standard six-sided dice. What is the probability of rolling a combined total of 8?