6 Sajid is practising for a long jump competition. He counts any jump that is longer than 6 m as a success. On any day, the probability that he has a success with his first jump is 0.2 . For any subsequent jump, the probability of a success is 0.3 if the previous jump was a success and 0.1 otherwise. Sajid makes three jumps.
- Draw a tree diagram to illustrate this information, showing all the probabilities.
- Find the probability that Sajid has exactly one success given that he has at least one success.
On another day, Sajid makes six jumps. - Find the probability that only his first three jumps are successes or only his last three jumps are successes.