Question

Q: A coin is tossed. If head will come then 3 red balls and 3 black balls are thrown. If tail will come, a die is thrown. (a) write the sample space. (b) find out the probability of getting 2in second case. (c) Find out the probability of getting black ball.

Answer 1

a)  Let us denote black balls by B1 , B2 , B3 and the red balls by R1 , R2 , R3 . Then a sample space of the experiment is S = { HB1 , HB2 , HB3 , HR1 , HR2 , HR3 , T1, T2, T3, T4, T5, T6 }

 b)2 is a face of dice and the probability to get 2 is (1/2)*(1/6) =1/12

c) probability of getting black ball is (1/2)*(3/6) =1/4