Q:

According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be above 80' F for 20 or more days this June. There are 30 days in June. If we use a number cube with the numbers 1 6 and assign 1 4 as a temperature above 80 F and 5 6 as a temperature 80 F or below, what is the BEST way to perform the simulation?

Accepted Solution

A:
The probability that temperature goes above 80 F =P= Success = 2/3.The probability that the temperature goes below 80 F or 80 F =Q= Not Success= 1-2/3=1/3What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.Number of Days in June = 30 DaysProbability, that it will be above 80 F for 20 or more days this June[tex]=C\left(30,20\right)P^{20}Q^{10}+C\left(30,21\right)P^{21}Q^9+C\left(30,22\right)P^{22}Q^8....+C\left(30,30\right)P^{30}Q^0.[/tex]The best way to perform stimulation if we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80 F and 5-6 as a temperature 80 F or below, Shows that we have marked four numbers i.e (1-4) as the temperature above 80 F, so the maximum number of days in June are of temperature above 80 F and less number of days are of the temperature, which is below 80 F or equal to 80 F.By converting it into a cube then playing the game in the classroom by collecting money from classmates by making five groups and rolling cube five times, if the number from (1-4) comes after rolling the cube you will win $5 money and if the number from (5-6) comes you win $10.The group that has the maximum correct answers wins the game.The probability that temperature goes above 80 F =P= Success =2/3.To learn more about the probability visit: