A box contains 5 red chips. 7 blue chips, and 3 green chips. Find the probabilit

Question

A box contains 5 red chips. 7 blue chips, and 3 green chips. Find the probability for questions. What is the probability of drawing a red chip? Find the probability that two chips are drawn, with replacement. and both are green. Find the probability that two chips are drawn, without replacement, and the first is blue and the second is red. ln a statistic class, the probability that a student is a Junior is 0.65. has an early dismissal is 0.35 is a Junior and has an early dismissal is 0.20 Are the events "is a Junior" and "has an early dismissal" mutually exclusive? Explain. If a student is selected at random, find the probability that the student is a Junior OR has an early dismissal? Evaluate the following! each In how many ways can the letters in each word be arranged? each.

Explanation / Answer

Part a

If it is mutually exclusive P(Junior & Early Dismissal) should be equal to zero

But P(Junior & Early Dismissal)= 0.2 which is not equal to 0

Hence they are not mutually exclusive

Part b

P(Junior or Early Dismissal)=P(Junior)+P(Eary Dismissal)-P(Junior & Early Dismissal)

P(Junior or Early Dismissal)=0.65-0.35-0.2=0.8

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