smc-3137-40-Dice

Probability, NAP-K2-28

Frank rolls a standard dice once.

Which of the following results is most likely?

	Frank rolls a 6.
	Frank rolls a number less than 3.
	Frank rolls an even number.
	Frank rolls a 5 or 6.

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`text(Frank rolls an even number)`

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`text(Consider the chance of each option:)`

`text{Pr (rolling a 6)} = 1/6`

`text{Pr (rolling a number less than 3)} = 2/6`

`text{Pr (rolling an even number)} = 3/6`

`text{Pr (rolling a 5 or 6)} = 2/6`

`:.\ text(Rolling an even number is the most likely.)`

Jack rolls a standard dice three times.

He rolls a six each time.

Jack then has a forth roll.

Which of the following is true?

	He is more likely to roll a six than a four.
	He is certain to roll a six.
	He has an equal chance of rolling a six as a four.
	He is more likely to roll a four then a six.

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`text(He has an equal chance of rolling a six as a four.)`

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`text(On any 1 given roll, all numbers have an)`

`text(equal chance.)`

`:.\ text(He has an equal chance of rolling a six as a four.)`

In any standard six-sided dice, the sum of the opposite faces is 7.

Milo rolls 3 dice and the total of the top faces is 5.

What is the sum of the three opposite faces?

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`16`

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`text(Sum of 3 top faces + 3 opposite)`

`= 3 xx 7`

`= 21`

`:.\ text(Sum of 3 opposite faces)`

`= 21 – 5`

`= 16`