Question

URGENT!! if you roll a dice 50 times, and the probability to get 5 is 1/6 times, what is the probability that every single dice roll is a 5?

Answer 1

The probability of getting a 5 on a single roll of a fair six-sided die is 1/6. To find the probability of rolling a 5 on all 50 rolls, we need to multiply the probability of rolling a 5 on each roll together. This is known as the multiplication rule of probability.

The probability of rolling a 5 on the first roll is 1/6. The probability of rolling a 5 on the second roll, assuming that the first roll was also a 5, is also 1/6. Similarly, the probability of rolling a 5 on the third roll, assuming that the first two rolls were also 5s, is also 1/6. We can continue this pattern for all 50 rolls.

Using the multiplication rule of probability, we can find the probability of rolling a 5 on all 50 rolls by multiplying the probabilities of rolling a 5 on each individual roll together:

(1/6) * (1/6) * (1/6) * ... * (1/6)

This can be simplified using exponentiation:

(1/6)^50

Evaluating this expression gives us approximately:

8.8817842 × 10^-40

This means that the probability of rolling a 5 on all 50 rolls is incredibly small - less than one in a trillion trillion trillion trillion trillion.

Answer 2

Answer: 1.237193076x10^-39 or 0.000000000000000000000000000000000000001237193076

Step-by-step explanation:

our favorable or desired outcome of getting 5 when dice is rolled 50 times is 1.

Number of possible outcomes is 6^50 which is 8.082812775 x 10^38

so now to get probability of getting 5 50 times is

P (probability)= Fav.Outcomes / TotalOutcomes

P= 1 / 8.082812775 x 10^38
P= 1.237193076x10^-39

Hence, probability of getting 5 50 times is 1.237193076x10^-39
OR 0.000000000000000000000000000000000000001237193076


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