A bag contains 10 red chips and 9 blue chips.Two chips are selected randomly without replacement from the bag.What is the probability that the two chips are the same color?

A) 0.529
B) 0.474
C) 0.526
D) 0.500
E) 0.263

Question

Sharan Sekhon · Accepted Answer

Final Answer : B, Explanation :  If the first chip is red, then there are 9 red and 9 blue chips left, so the probability that the second chip is also red is 9/18 = 1/2. Similarly, if the first chip is blue, then there are 10 red and 8 blue chips left, so the probability that the second chip is also blue is 8/18 = 4/9. The total probability is therefore:(10/19) * (9/18) + (9/19) * (8/18) = 90/342 + 72/342 = 162/342 = 0.474.

A bag contains 10 red chips and 9 blue chips.Two chips are selected randomly without replacement from the bag.What is the probability that the two chips are the same color?

A) 0.529
B) 0.474
C) 0.526
D) 0.500
E) 0.263

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Learning Objectives

Learning Objectives

Related questions

A bag contains 10 red chips and 9 blue chips.Two chips are selected randomly without replacement from the bag.What is the probability that the two chips are the same color?A) 0.529B) 0.474C) 0.526D) 0.500E) 0.263

Definitions

Learning Objectives

Learning Objectives

Related questions

A bag contains 10 red chips and 9 blue chips.Two chips are selected randomly without replacement from the bag.What is the probability that the two chips are the same color?

A) 0.529
B) 0.474
C) 0.526
D) 0.500
E) 0.263