Example : 1
Let’s say you're trying to find the likelihood of rolling a 3 on a 6-sided die. “Rolling a 3” is the event, and since we know that a 6-sided die can land any one of 6 numbers, the number of outcomes is 6. So, we know that in this case, there are 6 possible events and 1 outcome whose probability we’re interested in calculating
Example : 2
What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the week? "Choosing a day that falls on the weekend" is our event, and the number of outcomes is the total number of days in a week: 7.
Example : 3
A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is red? "Choosing a red marble" is our event, and the number of outcomes is the total number of marbles in the jar, 20.
https://news.1rj.ru/str/Maths4Magic
Let’s say you're trying to find the likelihood of rolling a 3 on a 6-sided die. “Rolling a 3” is the event, and since we know that a 6-sided die can land any one of 6 numbers, the number of outcomes is 6. So, we know that in this case, there are 6 possible events and 1 outcome whose probability we’re interested in calculating
Example : 2
What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the week? "Choosing a day that falls on the weekend" is our event, and the number of outcomes is the total number of days in a week: 7.
Example : 3
A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is red? "Choosing a red marble" is our event, and the number of outcomes is the total number of marbles in the jar, 20.
https://news.1rj.ru/str/Maths4Magic
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Example : 4
🔶Add up all possible event likelihoods to make sure they equal 1 🔷
"The likelihood of all possible events needs to add up to 1 or to 100%. If the likelihood of all possible events doesn't add up to 100%, you've most likely made a mistake because you've left out a possible event. Recheck your math to make sure you’re not omitting any possible outcomes."
The likelihood of rolling a 3 on a 6-sided die is 1/6. But the probability of rolling all five other numbers on a die is also 1/6. 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 , which = 100%
🔶Add up all possible event likelihoods to make sure they equal 1 🔷
"The likelihood of all possible events needs to add up to 1 or to 100%. If the likelihood of all possible events doesn't add up to 100%, you've most likely made a mistake because you've left out a possible event. Recheck your math to make sure you’re not omitting any possible outcomes."
The likelihood of rolling a 3 on a 6-sided die is 1/6. But the probability of rolling all five other numbers on a die is also 1/6. 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 , which = 100%
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Example : 5
🔶 Represent the probability of an impossible outcome with a 0. 🔷
"This just means that there is no chance of an event happening, and occurs anytime you deal with an event that simply cannot happen. While calculating a 0 probability is not likely, it’s not impossible either."
For example, if you were to calculate the probability of the Easter holiday falling on a Monday in the year 2020, the probability would be 0 because Easter is always on a Sunday.
🔶 Represent the probability of an impossible outcome with a 0. 🔷
"This just means that there is no chance of an event happening, and occurs anytime you deal with an event that simply cannot happen. While calculating a 0 probability is not likely, it’s not impossible either."
For example, if you were to calculate the probability of the Easter holiday falling on a Monday in the year 2020, the probability would be 0 because Easter is always on a Sunday.
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Example : 6
🔶 Deal with each probability separately to calculate independent events. 🔷
Once you’ve figured out what these probabilities are, you’ll calculate them separately. Say you wanted to know the probability of rolling a 5 twice consecutively on a 6-sided die. You know that the probability of rolling one five is 1/6, and the probability of rolling another five with the same die is also 1/6. The first outcome doesn’t interfere with the second.
🔶 Deal with each probability separately to calculate independent events. 🔷
Once you’ve figured out what these probabilities are, you’ll calculate them separately. Say you wanted to know the probability of rolling a 5 twice consecutively on a 6-sided die. You know that the probability of rolling one five is 1/6, and the probability of rolling another five with the same die is also 1/6. The first outcome doesn’t interfere with the second.
Example : 7
Consider the event: Two cards are drawn randomly from a deck of cards. What is the likelihood that both cards are clubs? The likelihood that the first card is a club is 13/52, or 1/4. (There are 13 clubs in every deck of cards.)
Now, the likelihood that the second card is a club is 12/51, since 1 club will have already been removed. This is because what you do the first time affects the second. If you draw a 3 of clubs and don't put it back, there will be one less club and one less card in the deck (51 instead of 52).
Consider the event: Two cards are drawn randomly from a deck of cards. What is the likelihood that both cards are clubs? The likelihood that the first card is a club is 13/52, or 1/4. (There are 13 clubs in every deck of cards.)
Now, the likelihood that the second card is a club is 12/51, since 1 club will have already been removed. This is because what you do the first time affects the second. If you draw a 3 of clubs and don't put it back, there will be one less club and one less card in the deck (51 instead of 52).
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