Question

Onsider the experiment of tossing a coin. If the coin shows tail toss it again but if it shows head then throw a die. Find the conditional probability of the event the die shows a number greater than 3 given that there is at least one head.

Answer 1

Event h, h its, its probability equal 1 by 2 into 1 by 2 equal 1 by 4.

when they even will be its tea then the probability is 1 by 2 into 1 by 2 equal 1 by 4. if the event is tand 1 then the probability will be 1 by 2 into 1 by 3 equal 1 by 12.

when they even if 3 and 1 then the probability will be 1 by 2 into 1 by 6 = 1 by 12.

find T3 T4 t5 and t6.

we need to find p (E/F) Fmeans number of greater than 4 on the die.

E means at least one head.

P =1/12+1/12

=1/6.

then find F,

Then add all,

P(F)=3/4

by formula,

=1/6/3/4

=2/9.