Question

1. Three people are selected at random from four females and seven males. Find the  probability of...

1. Three people are selected at random from four females and seven males. Find the  probability of the following. (See Example 4. Round your answers to three decimal places.)

• At least one is a male?
• At most two are male?

a)  A tray of electronic components contains 23 components, 5 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)

• that all 4 are defective?
• that 3 are defective and 1 is good?
• that exactly 2 are defective?
• that none are defective?

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

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