Question

You roll a 6 sided die what is p 2 or less than 6

Answer 1

The sample space for one 6-sided die is given by

${}\lbrace1,2,3,4,5,6\rbrace$

Then, the probability to get the number 2 or a number less than 6 is given by

$P(2\text{ or less than 6\rparen=P\lparen2\rparen+P\lparen less than 6\rparen-P\lparen2 and less than 6\rparen}$

which gives

$P(2\text{ or less than 6\rparen=}\frac{1}{6}+\frac{5}{6}-\frac{1}{6}=\frac{5}{6}$

that is because the probability to get a number 2 is 1/6, the probability to get a number less than 6 is 5/6 because there are 5 numbers less than 6 and the probability to get a number 2 and a number less than 6 is 1/6 because there is only one number 2.

Therefore, the answer is:

$\frac{5}{6}$