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Q1. In a group of 40 children, 12 have blonde hair, 13 have brown eyes, and...

Q1. In a group of 40 children, 12 have blonde hair, 13 have brown eyes, and 6 have both blonde hair and brown eyes. If a child is selected at random, find the probability of the following. (Round your answers to three decimal places.)

  • The child has blonde hair and brown eyes?

A) Three numbers are drawn from {1, 2, 3, 4, 5, 6, 7} and placed in a row in the order drawn to form a three-digit number. What is the probability of the following. (Round your answers to three decimal places.)

  • The number is 451?
  • It is larger than 600?
  • It is less than 421?

B) A person participates in a state lottery by selecting six numbers from 1 through 57. If the six numbers match the six drawn by the lottery, regardless of order, then the participant wins the first prize of millions of dollars. If a participant's numbers match five of the six drawn, the participant wins second prize, which is not millions of dollars.

  • Find the probability of winning second prize. (Round your answer to seven decimal places?

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