As per the given question,
In a hockey match, both teams 
and 
scored same number of goals upto the end of the game, so to decide the winner, the refree asked both the captains to throw a die alternately and decide that the team, whose captain gets a first six, will be declared the winner. If the captain of team was asked to start, find their respective probabilities of winning the match and state whether the decision of the refree was fair or not.
read more
students, two sections of 
and 
are formed. If you and your friend are among 100 students, what is the probability that: (i) you both enter the same section? (ii) you both enter the different section?
The outcome is noted, the card is replaced and the deck reshuffled. Another card is then drawn from the deck. (i) What is the probability that both the cards are of the same suit? (ii) What is the probability that the first card is an ace and the second card is a red queen?
marbles of which 
are blue and 
are red. one marble is drawn at random, its colour is noted and the marble is replaced in the bag. A marble is again drawn from the bag and its colour is noted. Find the probability that the marble will be Of the same colour.
and that of John’s selection is 
. What is the probability that none of them will be selected?
and 
red and 
. one ball is drawn from bag ‘ 
.
throw a die in succession till one gets a ‘six’ and wins the game. Find their respective probabilities of winning.
in order toss a coin. The one to throw a head wins. What are their respective chances of winning assuming that the game may continue indefinitely?
being awarded the prize. Show that their chance of winning are in the ratio 
.
is taking up subjects – Mathematics, Physics and Chemistry in the examination. His probabilities of getting grade 
and 
respectively. Find the probability that he gets. Grade 
and 
red balls and 
and of student 
. Assuming the two events: ‘ 
shots, 
times in 
times in 
black balls. One ball is drawn at random from each bag; find the probability that the (i) balls are of different colours (ii) balls are of the same colour.
, and 
cases and the wife in 
cases. Find the probability that both contradict each other on the same fact.
Two tickets are drawn one after the other at random. Find the probability that the number on one of the tickets is a multiple of 
cards, one after another without replacement. Find the probability that one of these is red card and the other a black card?
and that of Tarun’s rejection is 
. Find the probability that at least and of them will be selected.
and that of Monika’s selection is 
and 
of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?
black and