Probability, NAPX-K2-28

Question

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Worked Solution

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Variant 0

DifficultyLevel

519

Question

Roderick rolls a standard dice once.

Which of the following results is least likely?

Worked Solution

Consider the chance of each option:

PP(rolling an odd number) = 36\dfrac{3}{6}

PP(rolling an even number) = 36\dfrac{3}{6}

PP(rolling a 2 or 4) = 26\dfrac{2}{6}

PP(rolling a 6) = 16\dfrac{1}{6}

∴\therefore Roderick rolls a 6 is the least likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/nap-K2-28.svg 200 indent vpad Roderick rolls a standard dice once. Which of the following results is least likely?
workedSolution
Consider the chance of each option: $P$(rolling an odd number) = $\dfrac{3}{6}$ $P$(rolling an even number) = $\dfrac{3}{6}$ $P$(rolling a 2 or 4) = $\dfrac{2}{6}$ $P$(rolling a 6) = $\dfrac{1}{6}$ $\therefore$ {{{correctAnswer}}} is the least likely.
correctAnswer
Roderick rolls a 6

Answers

Is Correct?Answer
x

Roderick rolls an odd number

x

Roderick rolls a 2 or a 4

x

Roderick rolls an even number

✓

Roderick rolls a 6

Variant 1

DifficultyLevel

519

Question

Rocky rolls a standard 6-sided dice once.

Which of the following is Rocky most likely to roll?

Worked Solution

Consider the probability of each option:

PP(greater than or equal to 3) = 46\dfrac{4}{6} = 23\dfrac{2}{3}

PP(odd) = 36\dfrac{3}{6} = 12\dfrac{1}{2}

PP(less than 4) = 36\dfrac{3}{6} = 12\dfrac{1}{2}

PP(4 or 6)= 26\dfrac{2}{6} = 13\dfrac{1}{3}

∴\therefore A number greater than or equal to 3 is the most likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Rocky rolls a standard 6-sided dice once. Which of the following is Rocky most likely to roll?
workedSolution
Consider the probability of each option: $P$(greater than or equal to 3) = $\dfrac{4}{6}$ = $\dfrac{2}{3}$ $P$(odd) = $\dfrac{3}{6}$ = $\dfrac{1}{2}$ $P$(less than 4) = $\dfrac{3}{6}$ = $\dfrac{1}{2}$ $P$(4 or 6)= $\dfrac{2}{6}$ = $\dfrac{1}{3}$ $\therefore$ {{{correctAnswer}}} is the most likely.
correctAnswer
A number greater than or equal to 3

Answers

Is Correct?Answer
✓

A number greater than or equal to 3

x

An odd number

x

A number less than 4

x

The number 4 or 6

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