Respuesta :

0.01%

There are six possible outcomes in a role. Since no 1 and 6 are to be rolled. There would only be 4 possible outcomes.

So, the chance of rolling no 1 and 6 is  [tex]\frac{1}{6}[/tex]

Since we have 5 rolls. Then we have: [tex]\frac{1}{6}[/tex] * [tex]\frac{1}{6}[/tex] * [tex]\frac{1}{6}[/tex] * [tex]\frac{1}{6}[/tex] * [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{7776}[/tex] =0.00013

Therefore, the probability of rolling no 1 and 6 is approximately 0.01%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it's  that a proposition is true. The probability of an occasion is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.[note 1]]  the upper the probability of an event, the more likely it's that the event will occur.  an easy example is the tossing of a fair (unbiased) coin. Since the coin is fair,  the 2  outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could even be written as 0.5 or 50%).

These concepts are given an axiomatic mathematical formalization in probability theory, which is employed widely in areas of study such as statistics, mathematics, science, finance, gambling,  AI, machine learning,  computing,  theory of games, and philosophy,  for instance, draw inferences about the expected frequency of events.  applied mathematics is also used to describe the underlying mechanics and regularities of complex systems.

To  learn more about probability from the given link:

brainly.com/question/11234923

#SPJ9