Question

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is atleast $6$

• A. $\frac{20}{36}$
• B. $\frac{26}{36}$
• C. $\frac{18}{30}$
• D. $Noneofthese$

Answer 1

Answer: (B)

$\frac{26}{36}$

$Thesamplespacewhen2dicearerolledis:$

$6^2=36$

$Now,theprobabilityofthesumbeingatleast6is:P(x\ge 6)$

$\therefore P(x\ge 6)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)+P(x=11)+P(x=12)$

$=\frac{5}{36}+\frac{6}{36}+\frac{5}{36}+\frac{4}{36}+\frac{3}{36}+\frac{2}{36}+\frac{1}{36}$

$=\frac{26}{36}$