define success and failure. Heads? or tails. What number or set of numbers do you want on the die? A compound event could be heads for the coin and all 3 die are less than 4.
The probability of flipping a coin 3 times and getting 3 heads is 1/2
The probability of rolling a 3 on a die are 1/6. Since each roll is an independent event, the probability of rolling a 3 4 times in a row is (1/6)4 or 1/1296.The odds of something happening are the chances of it happening vs. the chances of it not happening. The chance of not rolling a 3 4 times in a row is 1-(1/1296) or 1295/1296.Therefore the odds are 1:1295
256
50/50 50/50? This is equal to 1 which would imply the probability of flipping a head is certain. Obviously not correct as the probability of flipping a head in a fair dice is 1/2 or 0.5
The probability is 1. I have flipped a coin a lot more than 7 times.
They are HHT, HTH, THH and HHH.
Probability is a number between 0 and 1. The probability of an event cannot be 12.
Suppose A is the event {rolling a 6-sided die 20 times and getting a 5} Then A', the complement of A, is the event {rolling a 6-sided die 20 times and not getting a 5 any times} So Pr(A) = 1 - Pr(A') = 1 - (5/6)20 = 1 - 0.026084 = 0.973916 (to 6 dp)
There are 8 permutations of flipping a coin 3 times, or of flipping 3 coins one time. They are, with the permutations of two heads bolded...TTTTTHTHTTHHHTTHTHHHTHHH... thus, the probability of flipping a coin 3 times and getting 2 heads is 3 in 8, or 0.375.
The probability of flipping a coin 3 times and getting 3 heads is 1/2
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Prob(Rolling 2 when rolling 1200 times) = 1 - Prob(not rolling 2 when rolling 1200 times) = 1 - (5/6)1200 = 1 [accurate to 95 decimal places] That is, it is virtually a certainty.
The probability of rolling a 3 on a die are 1/6. Since each roll is an independent event, the probability of rolling a 3 4 times in a row is (1/6)4 or 1/1296.The odds of something happening are the chances of it happening vs. the chances of it not happening. The chance of not rolling a 3 4 times in a row is 1-(1/1296) or 1295/1296.Therefore the odds are 1:1295
16
256
50/50 50/50? This is equal to 1 which would imply the probability of flipping a head is certain. Obviously not correct as the probability of flipping a head in a fair dice is 1/2 or 0.5
(1/6)^3 since each event is independent and each has a probability of 1/6.