What is the probability of throwing a total of six points or less with 3 dice
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Solution : `6*6*6=216` Show
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nmasanta 8,87125 gold badges23 silver badges47 bronze badges asked Oct 14, 2013 at 9:04
Peter BushnellPeter Bushnell 2572 gold badges3 silver badges7 bronze badges $\endgroup$ 1 $\begingroup$ A. There is a total of 6^3=216 combinations if you roll 3 dice. There are 5^2x3=75 combinations that you will get one 6. Thus there is a 75/216=25/72 chance of getting only one 6 when rolling 3 dice. B. There are 5x3 combinations that you will get 2 6s. Thus there is a 15/216=5/72 chance of getting a 2 6s when rolling 3 dice. C. There is 1 combination where you will get 3 6s. Thus there is a 1/216 chance you will get 3 6s when rolling 3 dice. (Good job you got this correct) D. There is a 75+15+1/216=91/216 chance of any of them happening. answered Oct 14, 2013 at 9:41
$\endgroup$ 4 $\begingroup$ Hint for A: what is the chance that no sixes appear? If you know that chance then you automatically know the chance that sixes do appear. answered Oct 14, 2013 at 9:13
drhabdrhab 144k10 gold badges72 silver badges193 bronze badges $\endgroup$ $\begingroup$ The chance of getting at least one 6 with three dice is 91/216 because if you subtract 125/216 (the probability of rolling three dice without getting a 6) from 216/216 (the probability of any combination of numbers), you get 91/216.
answered Nov 26, 2013 at 16:09
user111236user111236 821 silver badge5 bronze badges $\endgroup$ 1 What is the probability of rolling a 6 with 3 dice?Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or 42.1 %.
How many ways can 3 dice add up to 6?(vi) getting a total of at least 6. Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.
What is the probability of throwing 3 dice?The three dice are rolled fairly without any cheating. Each of the dice rolls is an Independent Event, that is the outcome from anyone dice roll has no impact whatsoever on the outcome of any other dice roll. The probability of all three happening is the product of the three probabilities: 1 × (1/6) × (1/6) = 1/36.
What is the probability of getting a total of 6 when three dice are thrown simultaneously?Solution : `6*6*6=216`
`P_1=1-P` `{(1,1,1),(1,1,2),(1,2,1),(2,1,1),(1,2,2),(2,2,1),(2,1,2),(1,1,3),(3,1,1),(1,3,1)}` P(sum<6)=10/216 P(sum>6)=1-P(sum <6) `=1-10/216=206/216=103/108`. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. |
