Two friends Richa and Sohan have some savings in their piggy bank. They decided to count the total coins they both had. After counting they find that they have fifty * 1 coins, forty eight * 2 coins, thirty six ? 5 coins, twenty exght 10 coins and eight ? 20 coins. Now, they said to Nisha, their another friends, to choose a coin randomly. Find the probability that the coin chosen is

1) 5 rupee coin

2) 20 rupee coin

3) not a 10 rupee coin

4) of denomination of atleast 10rupee

5) of denomination of atmost 5 rupee​

Answer:-  Solution:

Probability (represented by P(E)) refers to the number of favorable consequences divided by the number of possible outcomes.

There is a total of 170 coins, so the number of possible outcomes is 170.

(1)

The number of favorable outcomes is 36, since the number of 5 rupee coins is 36.

(2) P(E) = 36/170
=18/ 85

The number of favorable consequences is 8, since the number of 20 rupee coins is 8.

(3)      P(E) = 8/170
= 4/85

The number of favorable outcomes is 142, since the number of coins that are not 10 rupee coins is 142.

(4) P(E)= 142/170

= 71/85

The number of favorable outcomes is the sum of 162 and 170, since the number of coins up to 10 rupee is 162 and the number of coins up to 20 rupee is 170.

(5) P(E) = 162/170 + 170/170

=166/85

The number of favorable outcomes is 134, since the number of coins that are of denomination of almost 5 rupee coins is 134.

P(E)= 134/170

=67/85