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Calculating the probability of multiple events is a matter of breaking the problem down into separate probabilities. Here are three examples: What is the probability of rolling two consecutive fives on a six-sided die? These are independent events, because what you roll the first time does not affect what happens the second time; you can roll a 3, and then roll a 3 again. Two cards are drawn randomly from a deck of cards. What is the likelihood that both cards are clubs?

There are 13 clubs in every deck of cards. You are measuring the probability of dependent events. 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 fewer club and one less card in the deck 51 instead of If three marbles are drawn from the jar at random, what is the probability that the first marble is red, the second marble is blue, and the third is white?

This is another measure of a dependent event. Multiply the probability of each event by one another. This will give you the probability of multiple events occurring one after another.

Here's what you can do: The odds of an event is the ratio of its probability that it will occur to the probability that it will not occur. In the example of 9: Therefore, it is more likely for him to win than to lose. Remember that in sports betting and bookmaking, odds are expressed as "odds against," which means that the odds of an event happening are written first, and the odds of an events not happening come second.

Although it can be confusing, it's important to know this. For the purposes of this article, we will not use odds against. Convert the odds to probability.

Converting odds is pretty simple. Break the odds into two separate events, plus the number of total outcomes. The event that the golfer will win is 9; the event that the golfer will lose is 4.

Now the calculation is the same as calculating the probability of a single event. Ensure that two events or outcomes must be mutually exclusive. That means they both cannot occur at the same time. Assign a probability that is a non-negative number. If you arrive at a negative number, check your calculations again. Represent probability of an impossible outcome with a 0.

This just means that there is no chance of an event happening. You have a pot with balls. You decide to draw 5 balls from the pot without replacement. What is the probability of drawing five blue balls? First, you find the probability of drawing one blue ball: If the balls are drawn without replacement, then after every draw there will be one fewer ball in the pot, so the total number of balls for the second draw is This continues for all 5 balls drawn, so the probability of drawing five blue balls can be calculated by: Not Helpful 34 Helpful If I rolled a regular six sided die, what is the probability of getting a 5?

Not Helpful 15 Helpful I am doing an experiment and I want to find out the probability that a seed will germinate without water. How can I calculate this? Since a seed will not germinate without water, the probability will be zero. Not Helpful 20 Helpful It depends on the range of the random number generator. If two numbers are selected from 1 to 50, what is the probability that they will be divisible by 3 or 5? There are 16 multiples of 3 in the 1 - 50 range 3, 6, 9, 12, 15, etc. There are 10 multiples of 5 in the 1 - 50 range 5, 10, 15, 20, etc.

Of the multiples of 5, there are three which are also multiples of 3; i. In the first selection there are 23 "winning values" out of 50; in the second selection assuming the original number is no longer available for the draw , there would be 22 "winning values" remaining out of the 49 numbers.

Not Helpful 16 Helpful The only thing you can go off of is their skill. Keep in mind that the players are human too, and they might have a bad day where they don't play as well as they usually do. Not Helpful 22 Helpful A fair coin is tossed 3 times in a row. People in various occupations tend to apply statistics. Health specialists use statistical methods to resolve whether a particular drug or procedure is useful in the treatment of medical issues.

Weather forecasters use statistics to more precisely predict the weather. Engineers use statistics to scale standards for product safety, security and quality. Scientists employ statistical methods to conduct efficient experiments. Economists apply statistical techniques in foreseeing future economic tendencies.

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Statistics and Probability Statistics and probability are sections of mathematics that deal with data collection and analysis. Probability is the study of chance and is a very fundamental subject that we apply in everyday living, while statistics is more concerned with how we handle data using different analysis techniques and collection methods. Using and Handling Data. Data Index. Probability and Statistics Index.