Problem 1:
Two coins are tossed simultaneously. Find the probability of getting
i) at least one head
ii) at most one head
iii) exactly two head
iv) exactly one head
v) no head
vi) no tail
vii) at least one tail
viii) at most one tail
ix) exactly two tails
x) exactly one tail
Problem 2 :
A coin is tossed two times. Find the probability of getting at most one head.
Problem 3 :
A coin is tossed 3 times. List the possible outcomes. Find the probability of getting (i) all heads (ii) at least 2 heads
Problem 4 :
Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcomes of next toss will be a tail? Give reasons.
Problem 5 :
If I toss a coin 3 times and get head each time, should I expect a tail to have a higher chance in the 4th toss? Give reason in support of your answer.
Problem 6:
Three coins are tossed simultaneously. What is the probability of getting
i) exactly two heads
ii) at least two heads
iii) at most two heads
i) P (getting at least one head) = 3/4
ii) P (getting at most one head) = 3/4
iii) P (getting exactly two head) = 1/4
iv) P (getting exactly one head) = 1/2
v) P (getting no head) = 1/4
vi) P (getting no tail) = 1/4
vii) P (getting at least one tail) = 3/4
viii) P (getting at most one tail) = 1/2
ix) P (getting exactly two tails) = 1/4
x) P (getting exactly one tail) = 1/2
2) P (getting at most one head) = 3/4
3) (i) P (getting all heads) = 1/8
(ii) P (getting atleast 2 heads) = 1/2
4) The outcome of next toss may or may not be tail, because on tossing a coin, we get head or tail so both are equally likely events.
5) False, because of the outcomes ‘head’ and ‘tail’ are equally, likely. So, every time the probability of getting head or tail is 1/2.
6) i) P (getting exactly two heads) = 3/8
ii) P (getting at least two heads) = 1/2
iii) P (getting at most two heads) = 7/8
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM