Debbie is playing in a tennis round-robin. she plays 3 matches and needs to win at least two of these to progress to the semi finals. she has a probability of 0.6 of winning her first match. if she wins a match, her confidence increases such that the probability of her winning the next match is 0.8. Conversely, if she loses a match, the chance that she wins the next drops to 0.3
Calculate the probability that:
i) Debbie wins all 3 matches
ii)debbies loses all 3 matches

Question

Debbie is playing in a tennis round-robin. she plays 3 matches and needs to win at least two of these to progress to the semi finals. she has a probability of 0.6 of winning her first match. if she wins a match, her confidence increases such that the probability of her winning the next match is 0.8. Conversely, if she loses a match, the chance that she wins the next drops to 0.3
Calculate the probability that:
i) Debbie wins all 3 matches
ii)debbies loses all 3 matches