Let ,and .Compute P(A).
A) 0.15
B) 0.30
C) 0.45
D) 0.50

Question

Let  ,and  .Compute P(A).
A) 0.15 
B) 0.30 
C) 0.45 
D) 0.50

Quizplus · Accepted Answer

- P(A) = P(high digit in 6th position is odd) + P(high digit in 6th position is even and last digit is even) 
- In the first hexadecimal number, the high digit in the 6th position is "C" which is even. So, we need to look at the last digit to see if it is even or odd. The last digit is "2" which is even. 
- Therefore, P(high digit in 6th position is even and last digit is even) = 1/2 * 1/2 = 1/4 = 0.25 
- In the second hexadecimal number, the high digit in the 6th position is "7" which is odd. So, we know that P(high digit in 6th position is odd) = 1/2. 
- Adding these probabilities together, we get P(A) = 0.25 + 0.5 = 0.45. Therefore, the best choice is C.

Let ,And .Compute P(A)