A piggy bank contains hundred $50\ p$ 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 bank is turned upside down, what is the probability that the coin will not be a $Rs.\ 5$ coin?
Given: A piggy bank contains hundred $50\ p$ 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 bank is turned upside down.
To do: To find the probability that the coin will not be a $Rs.\ 5$ coin.
Solution:
Total number of coins in the piggy bank $=100+50+20+10=180$
Let $E$ be the event of getting an $Rs.\ 5$ coin.
Number of possible outcomes $=180$
Number of outcomes favorable to event $E=10$
$\therefore P( E) = \frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes} = \frac{10}{180}$
$= \frac{1}{18}$
$\therefore P( not\ getting\ a\ Rs.\ 5\ coin )=P(\overline E)$
$= 1 - P( E) = 1 - \frac{1}{18} = \frac{17}{18}$
Therefore, the probability of not getting an $Rs.\ 5$ coin is $\frac{17}{18}$
Related Articles
- A piggy bank contains hundred 50 paise 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 bank is turned upside down, find the probability that the coin which fell will be a 50 paise coin.
- A piggy bank contains hundred 50 p coins, fifty ₹ 1 coins, twenty ₹ 2 coins and ten ₹ 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a ₹ 5 coin?
- I have a total of $\ Rs. 300$ in coins of denominations $\ Rs. 1,\ Rs. 2$ and $\ Rs. 5$. The number of $\ Rs. 2$ coins is 3 times the number of $\ Rs. 5$ coins. The total number of coins is 160. How many coins of each denomination are with me?
- I have a total of \( Rs. 300 \) in coins of denomination \( Rs. 1, Rs. 2 \) and \( Rs. 5 \). The number of \( Rs. 2 \) coins is 3 times the number of \( Rs. 5 \) coins. The total number of coins is 160 . How many coins of each denomination are with me?
- I have 60 more 1rupee coins than 5 rupee coins. The total value of money is Rs 360. How many 5 rupee coins do I have
- Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75 , then the number of Re 1 and Rs 2 coins are, respectively(A) 35 and 15(B) 35 and 20(C) 15 and 35(D) 25 and 25
- I have a total of rupees 300 in coins of denomination rupees 1, 2, 5 the number of rupees 2 coins is 3 times the number of rupees 5 coins. The total number of coins is 160. Find the number of coins of each denomination.
- Find the probability of getting exactly one head when two coins are tossed.
- Rupees 1000 consists of one-rupee and two-rupee coins in the ratio 4:3. Find the number of 2-rupee coins.
- Minimum number of coins that make a given value
- Three coins are tossed. Find the probability of getting atmost one head.
- Harpreet tosses two different coins simultaneously (say, one is of \( ₹ 1 \) and other of \( ₹ 2 \) ). What is the probability that he gets at least one head?
- Find the principal that should be deposited in a bank so that the amount for 2 years is Rs.22050 at a rate of interest 5% compounded annually?
- Lakshmi is a cashier in a bank. She has currency notes of denominations Rs. \( 100, Rs.50 \) and \(Rs. 10 \), respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is \( Rs. 4,00,000 \). How many notes of each denomination does she have?
- Arranging Coins in C++
Kickstart Your Career
Get certified by completing the course
Get Started