Question

a man tossed a coin twice. He promised to get Rs.4 if he gets head but he give Rs. 1 if he gets tail.find his expected gain and variance?​

Answer 1

Answer:

Answer

Let X be the amount received by the person. Then, X can take values 5 and -3 such that

P( X = 5) = Probability of getting all heads or all tails when three coins are tossed

P( X = 5) =

8

2

​

=

4

1

​

P( X = -3) = Probability of getting one or two heads

P(X = -3) =

8

6

​

=

4

3

​

Therefore, expected amount to win, on the average, per game

=

X

=∑p

i

​

x

i

​

=5×

4

1

​

+−3×

4

3

​

=−1

Thus, the person will, on average, lose Rs. 1 per toss of the coins.

Step-by-step explanation: