MathDB

A website offers for

1000

colones, the possibility of playing

4

shifts a certain game of randomly, in each turn the user will have the same probability

p

of winning the game and obtaining

1000

colones (per shift). But to calculate

p

he asks you to roll

3

dice and add the results, with what p will be the probability of obtaining this sum. Olcoman visits the website, and upon rolling the dice, he realizes that the probability of losing his money is from

\left( \frac{103}{108}\right)^4

. a) Determine the probability

p

that Olcoman wins a game and the possible outcomes with the dice, to get to this one. b) Which sums (with the dice) give the maximum probability of having a profit of exactly

1000

colones? Calculate this probability and the value of

p

for this case.

Problem Statement