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The Indian cricket team is visiting New Zealand to play a test series comprising five matches. In each match, assume that the Indian team has

The Indian cricket team is visiting New Zealand to play a test series comprising five matches. In each match, assume that the Indian team has a 70% chance of winning. Further, assuming that the matches are independent of each other, what is the probability that: 

a. The Indian team will win the series?

b. The team will win all five matches, and that the team will lose all?

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