Your friend, jamie, rolled a number cube and got the number 5. on his next turn, he says he won’t be able to roll another 5 because he is only expected to roll a 5 once every six rolls. is your friend correct? explain your answer.

Answer with explanation:

When a Number cube numbered from 1 to 6 is rolled once,

total possible outcome ={1,2,3,4,5,6}

Probability of each outcome that is ,

→So, each outcome has equal chance when a die is rolled 6 times.But in actual ,that is in experimental probability this seems impossible.

→When you are dealing with theoretical probability,we state that ,yes when a number cube is rolled six times each outcome has equal chance of coming.

→No, my friend is Incorrect,because here he is performing experiment in real life,there are chances that in next five trials ,number 5 only appears on the number cube,but  when number of rolling of number cube becomes very high and higher, then probability of occurring of each number becomes same.

Here's the sample =3=

Step-by-step explanation:

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation: