Calculate the probability of obtaining obtaining on rolling a fair dice: a) an even number, b) a number greater than 2, c) an odd number, d) a number divisible by 3?

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Calculate the probability of obtaining obtaining on rolling a fair dice: a) an even number, b) a number greater than 2, c) an odd number, d) a number divisible by 3?

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Answer 1 · 2016-04-19T00:28:56

$a$ ) $1/2$
$b$ ) $2/3$
$c$ ) $1/2$
$d$ ) $1/3$

Explanation:

The probability of an event occurring given a discrete number of possibilities is given by $"number of ways the event can occur"/"number of total possibilities"$

Given the roll of a single die, there are $6$ total possibilities (a roll of $1, 2, 3, 4, 5$ , or $6$ ).

$a)$ As there are $3$ possible even numbers which can be obtained by rolling a die ( $2, 4$ , or $6$ ), the probability of rolling an even number is $3/6 = 1/2$

$b)$ As there are $4$ possible numbers greater than $2$ ( $3, 4, 5$ , or $6$ ), the probability is $4/6 = 2/3$

$c)$ As there are $3$ possible odd numbers ( $1, 3$ , or $5$ ), the probability is $3/6 = 1/2$

$d)$ As there are $2$ possible numbers which are divisible by $3$ ( $3$ or $6$ ), the probability is $2/6 = 1/3$

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Calculate the probability of obtaining obtaining on rolling a fair dice: a) an even number, b) a number greater than 2, c) an odd number, d) a number divisible by 3?

1 Answer

Explanation:

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