To determine the probability of a single event that has multiple outcomes, you can calculate it by dividing the number of favorable outcomes by the total number of possible outcomes.
In the context of probability, an event refers to an occurrence that can happen and may consist of several outcomes. For instance, consider the action of rolling a six-sided die. In this case, the event is rolling the die, and the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6. To find the probability of a specific outcome, you must first identify how many ways that outcome can occur (the favorable outcomes) and then divide this by the total number of possible outcomes.
Let’s examine the probability of rolling an even number on a six-sided die. The even numbers available on the die are 2, 4, and 6. This means there are 3 favorable outcomes. The total number of possible outcomes when rolling the die is 6, as there are six faces. Therefore, the probability is calculated as the number of favorable outcomes (3) divided by the total number of possible outcomes (6):
P(even number)=63=21Thus, the probability of rolling an even number is 21, or equivalently, 50%.
Another illustrative example is drawing a card from a standard deck of 52 cards. If you aim to find the probability of drawing a heart, you will note that there are 13 hearts in the deck. The total number of possible outcomes remains 52. Consequently, the probability of drawing a heart can be expressed as:
P(heart)=5213=41This simplifies to 41, or 25%.
In summary, the crucial steps to finding probability are to identify both the number of favorable outcomes and the total number of possible outcomes. You then divide the count of favorable outcomes by the total outcomes. This approach is applicable to any event with multiple outcomes, whether it involves rolling dice, drawing cards, or other scenarios.
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Professional Tutors |
All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject. |
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International Tuition |
Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere. |
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Independent School Entrance Success |
Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey. |
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