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One fair die is rolled. Find the probability of each event…

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

One fair die is rolled. Find the probability of each event.

a number less than $7$ (b) an $8$ (c) a number that is both even and more than $3$

Need a reminder? The key ideaShow

With equally likely outcomes, $P(E) = \dfrac{\text{favourable outcomes}}{\text{total outcomes}}$ . Every probability lies from $0$ (impossible) to $1$ (sure). The probabilities of all the elementary events add up to $1$ . For unequal sectors, a sector's chance is its angle out of $360^\circ$ .

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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