subratgre wrote:
could you explain it more clearly, I did not understand the first 2 steps you did
Weighted probability means :: For example, if you were rolling a single six-sided die, you would have the same probability of rolling a one as rolling any other number because each number will come up one out of six times
Now,
Probability of rolling a 1 = 1 * m ( let m be any multiplier)
similarly rolling 2 = 2* m
..
rolling 6 = 6 * m
These are the possible outcomes and since the probability must be 1
so add these possible outcomes : 1m + 2m + . . . + 6m = 1
or m = \(\frac{1}{21}\)
Now, as you have the multiplier
you can find all the probabilities
\(1(\frac{1}{21}) + 2(\frac{1}{21}) + ... .. + 6(\frac{1}{21}) = \frac{13}{3}\)