Question

7. If five coins are tossed simultaneously, list the sample space with the help of a tree diagram and find the
probability of getting
(i) three heads
(ii) at least two heads
(iii) only tails
(iv) at least one tail
(v) exactly two tails​

Answer 1

Step-by-step explanation:

Let A be the event that ‘at lest one head turns up.

since each coin turns up on either a head or a tail.

Hence, the sample space consists of 2

5

=32 outcomes.

Each outcome having a probability of occurrence as

32

1

.

Then A

c

is the event that ‘No head turns up’.

Thus A

c

consists of only one outcome,

Hence P(A

c

)=

32

1

⇒P(A)=1−

32

1

=

32

32−1

=

32

31