Question

Eight magzines in total. Four magzines are about cooking and four are about sports. If a person randomly choose three magzines from the eight magzines, what will be the probability that all of the magzines the person chosen are about cooking?

And also: what will be the probability of at least one of the three chosen magazines is about sports?

Answer 1

There are total 8 magazines.
4 magazines are about cooking and 4 are about sports.
The first magazine from the 4 cooking magazines can be selected in: 4 ways.
Similarly, The second magazine from the remaining 3 cooking magazines can be selected in: 3 ways.
Similarly, The third magazine from the remaining 2 cooking magazines can be selected in:2 ways.

Now, if we consider the all 8 magazines, then-
The first magazine from the 8 magazines can be selected in: 8 ways.
Similarly, The second magazine from the remaining 7 magazines can be selected in: 7 ways.
Similarly, The third magazine from the remaining 6 magazines can be selected in:6 ways.

P(all of the three magazines are about cooking)=

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