Leaving Cert Probability 2 Set C Questions - L.C. Maths

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Knowledge Check Quiz

EXAMS.IE

Bernoulli Trials

Hint

One of the six sides has the number four.

1 / 5

A fair dice is thrown multiple times. Which of the following is the probability of landing on the number four on the first throw?

\(\dfrac{1}{6}\)

\(\dfrac{2}{6}\)

\(\dfrac{3}{6}\)

\(\dfrac{4}{6}\)

One of the six sides has the number four.

That's right!

One of the six sides has the number four.

Hint

Each throw is an independent event.

2 / 5

A fair dice is thrown multiple times. Which of the following is the probability of landing on the number four on the third throw?

\(\dfrac{1}{6}\)

\(\dfrac{2}{6}\)

\(\dfrac{3}{6}\)

\(\dfrac{4}{6}\)

Each throw is an independent event.

That's right!

Each throw is an independent event.

Hint

One of the six sides has the number four.

3 / 5

A fair dice is thrown multiple times. Which of the following is the probability of landing on the number four for the first time on the third throw?

\(\dfrac{1}{6}\times\dfrac{2}{6}\times\dfrac{3}{6}\)

\(\dfrac{5}{6}\times\dfrac{5}{6}\times\dfrac{1}{6}\)

\(\dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{5}{6}\)

\(\dfrac{3}{6}\times\dfrac{3}{6}\times\dfrac{3}{6}\)

One of the six sides has the number four.

That's right!

One of the six sides has the number four.

Hint

We do not care which rolls are the ones that land on the number four.

4 / 5

A fair dice is thrown ten times. Which of the following is the probability of landing on the number four exactly three times?

\(\dfrac{5}{6}\times\dfrac{5}{6}\times\dfrac{1}{6}\)

\({5\choose3}\times\dfrac{5}{6}\times\dfrac{5}{6}\times\dfrac{1}{6}\)

\(\left(\dfrac{5}{6}\right)^2\times\left(\dfrac{1}{6}\right)^3\)

\({5\choose3}\times\left(\dfrac{5}{6}\right)^2\times\left(\dfrac{1}{6}\right)^3\)

We do not care which rolls are the ones that land on the number four.

That's right!

We do not care which rolls are the ones that land on the number four.

Hint

We do not care which of the first four rolls are the two times that the dice lands on the number four.

5 / 5

A fair dice is thrown ten times. Which of the following is the probability of landing on the number four for the third time on the fifth throw?

\(\left(\dfrac{1}{6}\right)^3\times\left(\dfrac{5}{6}\right)^2\)

\({4\choose2}\times\left(\dfrac{1}{6}\right)^3\times\left(\dfrac{5}{6}\right)^2\)

\({4\choose3}\times\left(\dfrac{1}{6}\right)^3\times\left(\dfrac{5}{6}\right)^2\)

\({10\choose3}\times\left(\dfrac{1}{6}\right)^3\times\left(\dfrac{5}{6}\right)^2\)

We do not care which of the first four rolls are the two times that the dice lands on the number four.

That's right!

We do not care which of the first four rolls are the two times that the dice lands on the number four.

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