Applications to Probability (VCE SSCE Mathematical Methods): Quizzes

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Applications to probability
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What is the probability formula when all outcomes are equally likely?

favorabletotal\frac{\text{favorable}}{\text{total}}

When should you use arrangements rather than selections?

When the order of items matters

When should you use selections rather than arrangements?

When order doesn't matter

How many 4-letter arrangements can be made from the 7 letters of SPECIAL?

840840

How many vowels are in the word SPECIAL?

33

What is PP(word from SPECIAL starts with vowel)?

37\frac{3}{7}

How many ways can 3 students be chosen from 10 students?

10C3=120^{10}C_3 = 120

From 6 boys and 4 girls, what is PP(3-person team has exactly 1 girl)?

0.50.5

From 6 boys and 4 girls, what is PP(3-person team has at least 2 girls)?

13\frac{1}{3}

In the three-step method, what does the total number of possible outcomes become?

The denominator

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