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3 Cards in this Set
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- Back
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How do you find the probability of selecting a group of a certain composition (e.g. 3 soldiers, 2 sailors, 4 airmen, 1 Marine)? |
Use the combination formula and the Fundamental Counting Principle Numerator: C(total in category 1, number you need out of that category) x C(total in category 2, number you need out of that category) x ... x C(total in last category, number you need out of that category) Denominator: C(total in all categories, size of the group you’re selecting) |
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How would you find the probability of selecting a certain number of rubber balls that are all the same color? |
Decision 1: Which color? Decision 2: Which balls of that color? Multiply the total ways to make those choices (Fundamental Counting Principle). Make that the numerator. Denominator: C(total balls, number of balls you want) |
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How would you find the probability of selecting a group of rubber balls where some are one color and some are another color? |
Decision 1: Which color first? Decision 2: Which balls of that color? Decision 3: Which color second? (How many colors left?) Decision 4: Which balls of that color? Multiply the number of ways to make each decision (Fundamental Counting Principle). Make that the numerator. Denominator: C(total balls, number of balls you have to select) |
