Probability of Simple Events: Examples and Formula

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Questions and Answers

Match the following concepts with their definitions in probability:

Simple Event = An event with multiple possible outcomes Probability = The likelihood of an event occurring Favorable Outcomes = The number of possible outcomes that result in the desired outcome Total Number of Outcomes = The number of possible outcomes that result in the desired outcome

Match the following formulas with their uses in probability:

Probability = (Number of favorable outcomes) / (Total number of outcomes) = To calculate the probability of a simple event Probability = 1 = To indicate that the event is impossible Probability = 0 = To indicate that the event is certain to occur Probability = (Total number of outcomes) / (Number of favorable outcomes) = To calculate the probability of a compound event

Match the following with the correct probability value:

Impossible event = 0 Certain event = 1 Unlikely event = less than 0.5 Likely event = greater than 0.5

Match the following steps with the correct order in calculating the probability of a simple event:

Count the number of favorable outcomes = 2 Determine the total number of possible outcomes = 1 Calculate the probability = 3 Determine the probability of the complementary event = 4 Signup and view all the answers

Match the following examples with their probability values:

Drawing a red number from a roulette wheel with 18 red numbers, 18 black numbers, and 2 green numbers = 18/38 Choosing a green number from a roulette wheel with 18 red numbers, 18 black numbers, and 2 green numbers = 2/38 Selecting a letter from the alphabet = 1/26 Drawing a black number from a roulette wheel with 18 red numbers, 18 black numbers, and 2 green numbers = 18/38 Signup and view all the answers

Match the following with the correct statement about probability:

Probability of a simple event = Always between 0 and 1 Favorable outcomes = The number of possible outcomes that result in the desired outcome Total number of outcomes = The number of possible outcomes that do not result in the desired outcome Complementary event = The event that does not occur Signup and view all the answers

Match the following with the correct description of an event:

Simple event = An event with only one possible outcome Compound event = An event with multiple possible outcomes Favorable event = An event that is likely to occur Unlikely event = An event that is not likely to occur Signup and view all the answers

Match the following with the correct calculation of probability:

Probability of drawing a red number from a roulette wheel = Number of red numbers / Total number of numbers Probability of choosing a green number from a roulette wheel = Number of green numbers / Total number of numbers Probability of selecting a letter from the alphabet = Number of letters / Total number of letters Probability of drawing a black number from a roulette wheel = Number of black numbers / Total number of numbers Signup and view all the answers

Match the following with the correct interpretation of probability:

Probability of 0 = The event is impossible Probability of 1 = The event is certain to occur Probability of 0.5 = The event is equally likely to occur or not occur Probability of 0.25 = The event is unlikely to occur Signup and view all the answers

Match the following with the correct aspect of probability:

Favorable outcomes = The number of outcomes that result in the desired outcome Total number of outcomes = The number of all possible outcomes Probability formula = The formula used to calculate the probability of a simple event Simple event = An event with only one possible outcome Signup and view all the answers

Study Notes

Evaluating Probability of Simple Events in Math 8

In Math 8, students are introduced to the concept of probability, which involves determining the likelihood of an event occurring. Specifically, they focus on the probability of simple events, which are events with only one possible outcome. To calculate the probability of a simple event, we use the formula:

{eq}\hspace{2em} \text{Probability} = \dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} {/eq}

Understanding Simple Events

A simple event is an event with one possible outcome, such as drawing a particular card from a deck, choosing an article of clothing from a closet, or selecting a letter from the alphabet. The probability of a simple event is always between 0 and 1, with smaller numbers indicating an unlikely event and larger numbers indicating a likely event. A probability of 0 indicates that the event is impossible, while a probability of 1 indicates that the event is certain to occur.

How to Calculate

To find the probability of a simple event, follow these steps:

Determine the total number of possible outcomes.
Count the number of favorable outcomes, which is the number of possible outcomes that result in the desired outcome.
Calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.

Examples

A roulette wheel has 18 red numbers, 18 black numbers, and 2 green numbers, for a total of 38 numbers. The probability of the ball landing on a red number on one spin is:

{eq}\hspace{2em} \text{Probability} = \frac{18}{38} = \frac{9}{19} {/eq}

If a die is rolled, the probability of rolling a 6 is:

{eq}\hspace{2em} \text{Probability} = \frac{1}{6} {/eq}

These probabilities represent the likelihood of each event occurring, with the larger numbers indicating a higher chance of the event happening.

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Description

Learn to calculate the probability of simple events, which have only one possible outcome, using the formula probability = number of favorable outcomes / total number of outcomes. Understand how to determine the probability of events, such as drawing a card or rolling a die, and practice with examples.