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Find the conditional probability

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1. We have 7 boys and 3 girls in our church choir. There is an upcoming concert in the local town hall. Unfortunately, we can only have 5 youths in this performance. This performance team of 5 has to by picked randomly from the crew of 7 boys and 3 girls. What is the probability that less than 4 boys are picked in this team of 5?

2. Consider the rolling of 2 six-sided fair dice, find the conditional probability P(first dice =3 | sum of two dice = 7). Are these two events independent?

Reference no: EM131954411

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