- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 3. Probability Concepts
- Subject 4. Multiplication Rule for Independent Events
CFA Practice Question
If two six-sided dice are rolled once, what is the probability of rolling doubles (same number on each die) and a sum of six?
B. 0.250
C. 0.028
A. 0.278
B. 0.250
C. 0.028
Correct Answer: C
That is, to get 3 and 3! (1/6) x (1/6) = 0.0277
User Contributed Comments 9
| User | Comment |
|---|---|
| vincenthuang | should be .0277*2=.0556, coz there are two 3x3 |
| cfaman | No vincent. The probability of getting 3 in the first dice is 1/6, so is the second one. Therefore the joint probability is 1/6 x 1/6. |
| katybo | 6*1/6*1/6 (11 22 33 44 55 66) |
| noonah | Vincent reasoning would be correct if the dice were rolled twice. |
| Yooo | Vincent, I own a casino. Stop by any time. |
| jwebbs | all i know is there's 36 different combinations, and only 1 rolls a double and equals 6. 1/36=.027777 |
| soarer1 | Common sense would indicate 0.028 too. |
| alyl21 | This is more common sense than anything. 1) to get sum of 6, here are the combis 5,1| 2,4| 3,3| 4,2| 1,5 Here are 5 pairs, of these 5 pairs, only one pair are doubles, that is 3,3 this is one possibility of out 36 different results from 2 throws of a 6 faced die. 1/36 is the answer |
| daxian610 | alyl21- Nice ! |