
Five clowns each have a red wig and a blue wig, which they are all equally likely to wear at any particular time. Find the probability that, at any particular time:
exactly two clowns are wearing red wigs


Important Questions on Permutations and Combinations
Five clowns each have a red wig and a blue wig, which they are all equally likely to wear at any particular time. Find the probability that, at any particular time:
more clowns are wearing blue wigs than red wigs.

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:
a yellow rose bush is in the middle of the row

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:
the three red rose bushes are not separated

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:
no two red rose bushes are next to each other.

A farmer has animals. They have sheep, of which three are male, and they have cattle, of which are female. A veterinary surgeon wishes to test six randomly selected animals. Find the probability that the selection consists of:
equal numbers of cattle and sheep

A farmer has animals. They have sheep, of which three are male, and they have cattle, of which are female. A veterinary surgeon wishes to test six randomly selected animals. Find the probability that the selection consists of:
more females than males.


