The Multiplication Rule – Bernoulli Trials (Leaving Cert Mathematics): Quizzes

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The Multiplication Rule – Bernoulli Trials
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What is the multiplication rule also commonly called?

The AND rule

For independent events, what is P(A and B)P(A \text{ and } B) equal to?

P(A)×P(B)P(A) \times P(B)

What does it mean for two events to be independent?

One outcome doesn't affect the other

What is P(head and 6)P(\text{head and } 6) when tossing a coin and throwing a dice?

112\frac{1}{12}

Who are Bernoulli trials named after?

James Bernoulli

How many possible outcomes must each Bernoulli trial have?

Exactly two

Which is NOT a condition for Bernoulli trials?

Outcomes are equally likely

What is the probability the first head occurs on the 3rd toss of a fair coin?

18\frac{1}{8}

A dice is rolled. What is P(5 or 6 first on 3rd throw)P(5 \text{ or } 6 \text{ first on 3rd throw})?

427\frac{4}{27}

On a 3-question test with 4 choices each, what is P(all 3 correct)P(\text{all 3 correct}) by guessing?

164\frac{1}{64}

For exactly one success in 3 trials, what must you consider?

All possible positions for success

Why use the multiplication rule over the sample space method?

It's more efficient

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