there is a six sided dice rolled 40 times what is the expiremental probability of not rolling a six

Question

number of dice   frequency

 1                         5

2                           9

3                            2

4                           8

5                         12

6                          4

Answer 1

Out of the 40 times you rolled the die, 4 of those where a six. So 4/40=1/10=0.10 should be the probability of rolling a 6 - at least for this die. Since you either roll a 6 or you don't, the probability of not rolling a 6 is 1.00-0.10=0.90.

 

There is another way of doing this. Not rolling a 6 means you roll a 1, 2, 3, 4, or 5. The probability of these are 5/40, 9/40, 2/40, 8/40, and 12/40, respectively. Then the probability of not rolling a 6 is 5/40 + 9/40 + 2/40 + 8/40 + 12/40 = 36/40=0.90.

 

Agreement in answers, huzzah!