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Hi Caitlin! Probability is calculated by dividing the number of favourable outcomes by the total number of possible outcomes. The formula for probability is:
Probability = Number of favourable outcomes / Total number of possible outcomes
Here's a step-by-step guide on how to calculate probability:
1) Determine the total number of possible outcomes: This is the total number of outcomes that can occur in a given situation. For example, if you're rolling a standard six-sided die, the total number of possible outcomes is 6 because there are six different numbers that can appear.
2) Determine the number of favourable outcomes: These are the outcomes you are interested in or consider successful. For example, if you want to calculate the probability of rolling a 3 on a six-sided die, the number of favourable outcomes is 1 because there is only one outcome where you roll a 3.
3) Divide the number of favourable outcomes by the total number of possible outcomes: Take the number and divide it by the total number of possible outcomes. This will give you the probability. Using the example above:
Probability of rolling a 3 = Number of favourable outcomes (1) / Total number of possible outcomes (6)
Probability of rolling a 3 = 1/6
Therefore, the probability of rolling a 3 on a six-sided die is 1/6 or approximately 0.1667.
Keep in mind that probability is always between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
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In any probability problem, one must first calculate the total possible outcomes of an experiment. Then , calculate how many favorable outcomes there are. Divide the number of favorable outcomes by the total possible outcomes and you will get a fraction between 0 and1.
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