You throw two dice. The red dice is fair but on the blue dice the probability of a 1=15%, probability of a 2 is 25%, and the probability of any other number is 15%. What is the probability of getting 4?
Possible Rolls with a sum of 4:
We add all three probabilities up to get:
0.025 + 0.025 + 0.014667 = 0.09166667
Possible Rolls with a sum of 4:
- R = 1, B = 3
- R = 2, B = 2
- R = 3, B = 1
- R = 1, B = 3 = 1/6 * 15/100 = 15/600 = 1/40 = 0.025
- R = 2, B = 2 = 1/6 * 25/100 = 25/600 = 1/24 = 0.041667
- R = 3, B = 1 = 1/6 * 15/100= 15/600 = 1/40 = 0.025
We add all three probabilities up to get:
0.025 + 0.025 + 0.014667 = 0.09166667