Question

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.)?

Answer 1