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Binomial distribution: a) We know that the probability of getting three heads in three throws on...

Binomial distribution:

a) We know that the probability of getting three heads in three throws on a weighted coin is 0.008, what is the probability of getting exactly two heads in three throws of that coin?

b) A bag has 40 red coins and 60 blue coins. We know that the probability of getting a head on a red coin is 0.5 and getting a head on a blue coin is 0.3. If we take out a coin from the bag and throw it four times, what is the probability of getting exactly three heads?

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