The next three questions use this scenario: A woman\'s pocket contains 2 quarter

Question

The next three questions use this scenario: A woman's pocket contains 2 quarters and 2 nickels; she randomly extracts coins, and without replacing it picks a second coin. one of the 61.Are the events Q1- "irst pick was a quarter" and Q2 -"second pick was a quarter" independent? a. yes b. No c. There is not enough information 62. What is the probability of getting a quarter both times, P(01 and Q2)? a. 2/4 1/3 1/6 b. 2/4 * 1/2-1/4 d. 2/4+ 1/3-5/6 63. What is the probability of getting a quarter and then a nickel, P(Q1 and N2)? a. 214 1/3 1/6 c. 2/4 2/3 1/3 d. 2/4+ 1/3-5/6

Explanation / Answer

We know that P(an event)=(No. of favorable outcomes)/(No. of total Outcomes).

61)Q1 and Q2 are not independent.

because the first coin that was selected is not replaced, whether Q1 occurred (i.e., whether the first coin was a quarter) does affect the probability that the second coin is a quarter, P(Q2).

Ans:-b)No.

62)P(Q1 and Q2)= P(Q1)*P(Q2)= (2/4)*(1/3)= 1/6

Ans:-a.

63)P(Q1 ansd Q2)=(2/4)*(2/3)=1/3

Ans:- c.

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