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please kindly show steps on three questions...thank you Q1: In an ODI cricket match between Bangladesh and South Africa, Bangladesh opt to bowl first and

please kindly show steps on three questions...thank you

Q1:

In an ODI cricket match between Bangladesh and South Africa, Bangladesh opt to bowl first and in the first 20 overs, the percentage that Miraz bowled was twice as much as Mustafiz bowled. The percentage that Taskin bowled was 10 more than Mirazs' and Mustafizs' together. The dot ball Mustafiz, Miraz and Taskin delivered were 15%, 20% and 6.818% respectively. Commentators came up with a statistic that in those 20 overs, if it is a dot ball then the probability that it was delivered by Miraz is 50%. For how much overs did Miraz was bowling? (Round the answer to an integer)

Q2:

Bangladesh national museum held an exhibition of paintings drawn by various artists. Some of the artists were dishonest and copied some work from other famous artists. This resulted in 25% unoriginal paintings in the exhibition. A very professional collector buys one of the paintings from there. He is known for his eye as he never claims an original art as an unoriginal one but ends up buying an unoriginal one 15% of the time. What is the probability that the painting he bought is an original one? (Round to 2 decimal places)

Q3:

Mr. Matin met his friend Mr. Mahfuz after 5 years in the book fair this year. He knew Mr. Mahfuz has two children but he only saw a daughter with him. He could not ask about his other children due to too much crowd around them. His intuition tells him that the other child is also a girl. What is the probability that Mr. Matin is right about his intuition given him seeing one of the child as girl? (Round to 2 decimal places)

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