2 I have 5 books, each by a different author. The authors are Austen, Brontë, Clarke, Dickens and Eliot.
- If I arrange the books in a random order on my bookshelf, find the probability that the authors are in alphabetical order with Austen on the left.
- If I choose two of the books at random, find the probability that I choose the books written by Austen and Brontë.
\(325 \%\) of the plants of a particular species have red flowers. A random sample of 6 plants is selected. - Find the probability that there are no plants with red flowers in the sample.
- If 50 random samples of 6 plants are selected, find the expected number of samples in which there are no plants with red flowers.