1. Tardigrade
  2. Question
  3. Mathematics
  4. Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two dice are thrown. If it is known that the sum of numbers on the dice was less than $6$ the probability of getting a sum as $3$ is

KCETKCET 2021Probability - Part 2

Solution:

$(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)$
$(3,1)(3,2)(4,1)$
$P(B)=\frac{10}{36}$
$n ( A )=(1,2)(2,1)$
$P ( A )=\frac{2}{36}$
$P \left(\frac{ B }{ A }\right)=\frac{\frac{2}{36}}{\frac{10}{36}}$
$=\frac{2}{10}=\frac{1}{5}$