A die is thrown and the sum of the numbers appearing is observed to be 7. What is the conditional probability that the number 2 has appeared at least once.
Find the probability that a single throw of a die results in a number less than 6 if
(i) no other information is given
(ii) it is given that the throw resulted in an odd number
A pair of dice is thrown . If the sum is seven, find the probability that one of the dice shows 3.
A die thrown three times,
E : 4 appears on the third toss,
F : 6 and 5 appears respectively on First two tosses
Determine P(E | F).
A coin is tossed three times, where
E : head on third toss, F : heads on first two tosses
Here S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
E : head on third toss
E = {HHH, HTH, THH, TTH}
and F : heads on first two tosses