PROBABILITY PROBLEMS ON COINS WORKSHEET

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

Solution

Problem 2 :

A coin is tossed two times. Find the probability of getting at most one head.

Solution

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

Solution

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.

Solution

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.

Solution

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

Solution

Answer Key

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

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