1. A bag contains hundred 50p coins, fifty Rs.1
coins, twenty Rs 2 coins and ten Rs 5 coins. If it is
equally likely that one of the coins will fall out when
the bag is turned upside down, what is the
probability that the coin will NOT be a Rs. 5 coin?
(A) 1/18
(B) 10/18
(C) 17/18
(D) 5/18
Answers
Answer:
Total no. of coins in the bag is 180
Solution(i):
No. of 50p coins in bag is 100
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
100
=
9
5
Therefore,Probability that a 50p coin wins =
9
5
Solution(ii):
No. of coins with value >Rs. 1 in piggy is 30
Let E be the event of drawing a coin from bag
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
30
=
6
1
Therefore,Probability that a coin with value >Rs.1 falls =
6
1
Solution(iii):
No. of coins with value <Rs 5 in bag is 170
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
170
=
18
17
Therefore,Probability that a coin with value <Rs.5 falls =
18
17
HEY MATE THIS IS IR ANSWER
Number of 50 ps coins = 100
Number of Re. 1 coins = 50
Number of Rs. 2 coins = 20
Number of Rs. 5 coins = 10
∴ Total number of coins, n(S) = 180
Possibility of one Rs. 5 coin:
n(B) = 180 – 10 = 170
(∵ 10 coins are Rs. 5)
∴ Probability, P{B} = n{B}/n{S} = 170/180
⚛⚛⚛➡➡ 17/18 ⚛⚛➡➡
OPTION C