Probability Lessons 20-6 Through 20-8

An event is considered certain if there is no doubt or uncertainty about its occurrence. It is an absolute assurance that the event will happen, leaving no room for any other possibility.

If an event is described as "impossible," it means that there are no circumstances or conditions under which it can occur. This suggests that the event is completely beyond the realm of possibility and cannot happen in any way or form.

In this apple bobbing contest, there are a total of 18 apples in the tub. Out of these, 9 are red, 6 are green, and 3 are yellow. Since there are more red apples than any other color, the chances of getting a red apple are higher compared to green or yellow apples. Therefore, you are most likely to get a red apple when you close your eyes and bob for an apple.

The probability of picking a dime is impossible because the given information states that there are only four coins in the purse - one quarter and the rest are nickels. There is no mention of a dime being present in the purse, therefore it is impossible to pick a dime.

The probability of picking a purple marble from the jar is unlikely because there are only 31 marbles in total and 23 of them are blue. This means that there are fewer purple marbles in the jar compared to blue marbles, making it less likely to select a purple marble.

The probability of picking a red popsicle is certain because it is stated in the question that there are 35 red popsicles in the box. Therefore, it is guaranteed that if you pick a popsicle from the box, it will be red.

If an event is unlikely, it means that there is a low probability or chance of it happening. Therefore, it is reasonable to assume that it will probably not happen.

The outcome of flipping a coin is independent of previous flips. Each flip has a 50% chance of landing on heads and a 50% chance of landing on tails. Therefore, regardless of the previous outcome being heads, the next flip still has an equal chance of landing on heads or tails.

It is unlikely that the marble Miriam picked was white because there were only 10 marbles in total and only one of them was white. Therefore, the probability of picking the white marble is low compared to the other colors.

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An event is considered "likely" if there is a high probability or a strong chance that it will occur. This implies that the event is expected or anticipated to happen based on available evidence or information.

The probability of picking an odd number is likely because out of the given list of numbers, 33, 9, and 81 are odd numbers. Since there are more odd numbers than even numbers in the list, it is more likely to randomly select an odd number.

An outcome refers to a potential result that can occur from a game or experiment. It represents the different possibilities or conclusions that can be achieved. In the context of this question, the term "outcome" accurately describes the possible results that can be obtained from a game or experiment.

Tally chart B shows the tosses of the coin. The tally marks in B represent 4 heads and 6 tails, which matches the given information that the coin landed on heads 4 times and tails 6 times.

To predict is to make an educated guess about what may happen in the future based on the information and knowledge that one possesses. It involves using available data, patterns, trends, and logical reasoning to anticipate or forecast a future outcome or event. Prediction is a valuable skill that helps individuals and organizations make informed decisions, plan ahead, and mitigate potential risks.

Outcomes with the same chance of happening are equally likely. This means that each outcome has an equal probability or likelihood of occurring. In other words, there is no favoritism or bias towards any specific outcome, and they all have an equal chance of happening.

The phrase "less likely" refers to an outcome that has a lower probability of occurring compared to other possibilities. It suggests that the event or result being described has a smaller chance of happening when compared to alternative options.

A line plot is a visual representation of data organized on a line. It uses a number line to display data points or values. Each data point is represented by a dot or symbol above the corresponding value on the number line. Line plots are useful for showing the distribution and frequency of data in a simple and concise manner.

The term "more likely" indicates a higher probability or chance of occurrence. Therefore, when comparing two outcomes, the one that is "more likely" is the one with a greater chance of happening.