Math, asked by shriramsain45, 2 months ago

nishtha has rs 1 coin,a rs 2 coin ,a rs 5 coin and a rs10 coin in her purse.she Neetu per for a pencil that costs rs 4 state the probability of her using the rs 5 coin
please give me answer who give me answer I will mark Brainliest ❣️

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Answers

Answered by IdyllicAurora
54

Concept :-

Here the concept of Probability has been used. We see that we are given the coins of 4 denominations. So firstly we can find out the probability of using the coins that can be used to make payment. Then all the outcomes there will be equally likely. So we can take the 50% of it to find the probability of using ₹5 coin.

Let's do it !!

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Formula Used :-

\;\boxed{\sf{\pink{P_{(E)}\;=\;\bf{\dfrac{No.\;of\; Favorable\;Outcomes}{Total\;number\;of\;Outcomes}}}}}

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Solution :-

Given,

» Denominations of coins = 1, 2, 5 and 10

» Number of ₹1 coin = 1

» Number of ₹2 coin = 1

» Number of ₹5 coin = 1

» Number of ₹10 coin = 1

» Amount to be paid = 4

  • Total number of coins = 4 = Number of Favorable Outcomes

  • Coins that can pay the amount = 5 and 10

  • Number of coins that can be used for payment = 2 = Number of Favorable Outcomes

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~ For the probability of using two coins :-

  • Let the probability of two usable coins be P(E)

We know that,

\;\sf{\rightarrow\;\;P_{(E)}\;=\;\bf{\dfrac{No.\;of\; Favorable\;Outcomes}{Total\;number\;of\;Outcomes}}}

By applying values we get,

\;\sf{\rightarrow\;\;P_{(E)}\;=\;\bf{\dfrac{2}{4}}}

\;\sf{\rightarrow\;\;\green{P_{(E)}\;=\;\bf{\dfrac{1}{2}}}}

This is the probability of using two coins which can be used for the payment.

In qúestion it is given that we have to find the probability of using 5 coin. And here the probability of using of ₹5 coin and ₹10 coin are equal likely. So using of 5 coin is 50% of the probability of using both coins.

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~ For the probability of using 5 coin ::

  • Let the probability of using 5 coin be P(5). So,

P(5) = 50% of P(E)

  • Here we will use Rs. instead of

By applying values, we get

\;\sf{\rightarrow\;\;P_{(Rs.\:5)}\;=\;\bf{50\%\:\times\:\dfrac{1}{2}}}

\;\sf{\rightarrow\;\;P_{(Rs.\:5)}\;=\;\bf{\dfrac{50}{100}\:\times\:\dfrac{1}{2}}}

\;\sf{\rightarrow\;\;P_{(Rs.\:5)}\;=\;\bf{\dfrac{1}{2}\:\times\:\dfrac{1}{2}}}

\;\sf{\rightarrow\;\;\red{P_{(Rs.\:5)}\;=\;\bf{\dfrac{1}{4}}}}

So this is the required answer

So, probability of using ₹5 coin = ¼

\;\underline{\boxed{\tt{Required\;\:Answer\;=\bf{\purple{\dfrac{1}{4}}}}}}

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More to know :-

Equally - Likely Outcomes : These are the events that have equal probability of outcome.

Total Number of Outcomes : These are the number of all outcomes which we have got from the trial.

Number of Favorable Outcomes : These are the outcomes which we want as the outcome.

Impossible Outcome : These are the outcomes which have no probability of occuring.


Skyllen: Awesome work!
Answered by Anonymous
0

Answer:

Step-by-step explanation:

Two-third of its population is engaged in agricultural activities which provide livelihood. Agriculture is a primary activity and produces most of the food and foodgrains that we consume. It produces raw materials for our various industries, e.g., cotton textile and sugar industry.

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