You ask your friend to pick a number 1-10. If he picks a number larger than 5, what are the odds it is an 8?
A) 1/10
B) 5/8
C) 1/8
D) 1/5
The odds of picking any one number from 6-10 are 1/5 (since there are 5 options). The odds of specifically picking 8 out of those 5 options is 1/5. Therefore, the answer is D) 1/5.
To find the odds that your friend picks an 8 given that the number is larger than 5, we need to determine the number of favorable outcomes (picking 8) and the total number of possible outcomes (picking a number larger than 5).
The favorable outcome is picking an 8, which is only 1 possibility.
The total number of possible outcomes is picking a number larger than 5, which includes 6, 7, 8, 9, and 10, giving us a total of 5 possibilities.
Therefore, the odds of picking an 8 given that the number is larger than 5 is 1/5.
Thus, the correct answer is D) 1/5.