1. A committee consisting of 6 people to be selected from eight parents and four

1. A committee consisting of 6 people to be selected from eight parents and four teacher. Find the probability of selecting three parents and three teacher.a. 8/33b. 2/33c. 100/231d. 10/112. You are dealt one card from a 52- card deck. Then the card is replaced in the deck the deck is shuffled and you draw again. Find the probability of getting a five each time.a. 2/13b. 1/13c. 1/221d. 1/1693. You are dealt one card from a 52- card deck. Then the card is replaced in the deck the deck is shuffled and you draw again. Find the probability of getting a picture card the first time ad a spade the second time.a. 3/52b. 1/13c. 3/13d. 4. A architect is considering bidding for the design of a new shopping mall. The cost of drawing plan a submitting a model is $10000. the probability being awarded the bid is 0.09 and anticipated profit are $100000resulting in a possible gain of this amount minus the $100000 cost for plans and a model. What is the expected value in this situation?a. -$1000b. $9000c. $8100d. $8000