A randomly selected sample of $1, 000$ individuals were asked whether they were planning to buy a new cellphone in the next $12$ months. A year later the same persons were interviewed again to find out whether they actually bought a new cellphone. The response of both interviews is given below
Buyers Non-buyers
Plan to buy $200$ $50$
No plan to buy $100$ $650$
If a person was selected at random, what is the probability that he/she (i) had a plan to buy but a non-buyer

\frac{1}{20}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{2}{20}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{3}{20}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{1}{20}$
$P$ (plan to but but a non-buyer) $= \frac{P e o p l e P l a n T o B u y B u t A N o n - B u y e r}{T o t a l}$

$= \frac{50}{1000} = \frac{1}{20}$

Suggest Corrections

Similar questions

A survey was conducted to see what people like to do in their free time. 100 people were interviewed. 20 people said they watch TV, 32 said that they read, 27 said they surf the internet and the rest said they do other stuff. Based on the data, what is the probability that a person chose at random

Q. In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3 % buy B and C, 4% buy A and C and 2% families buy all the three news papers. If probability of families to buy only newspaper B is

\frac{λ}{100}

, then find the value of

λ

Q. A box contains

144

pens of which

20

are defective and the others are good. A person will buy a pen if it is good and will not buy if it is defective. The shopkeeper draws one pen from the box at random and gives it to the person. What is the probability that the person will buy it.

Q. Fazila writes the things they need to buy to begin. See the table for the cost of each item and the number of items they want to buy. Find the total cost.

Item	Price of each	Number of items	Cost
Bore well for fresh water Bamboo rack for fish drying Cement tank Tray and knife Bucket	Rs 3000 Rs 2000 Rs 1000 Rs 300 Rs 75	1 20 4 20 20

Total cost to set up the factory = __________
When fresh fish is dried it becomes 1/3 its weight.
In one month they plan to dry 6000 kg of fresh fish.
How much dried fish will they get in a month? _______________

Q. A random sample of

1, 000

men was selected and each individual was asked to indicate his age and his favorite sport. The results were as follows.

Age/ Sports	Volleyball	Basket ball	Hockey	Football
Below $20$	$26$	$47$	$41$	$36$
$20 - 29$	$38$	$84$	$80$	$48$
$30 - 39$	$72$	$68$	$38$	$22$
$40 - 49$	$96$	$48$	$30$	$26$
$50$ and above	$134$	$44$	$18$	$4$

If a respondent is selected at random, what is the probability that he is between

20 - 29

years old

Join BYJU'S Learning Program

	Buyers	Non-buyers
Plan to buy	$200$	$50$
No plan to buy	$100$	$650$

The correct option is A 120P(plan to but but a non-buyer) =PeoplePlanToBuyButANon−BuyerTotal =501000=120

The correct option is A $\frac{1}{20}$
$P$ (plan to but but a non-buyer) $= \frac{P e o p l e P l a n T o B u y B u t A N o n - B u y e r}{T o t a l}$

$= \frac{50}{1000} = \frac{1}{20}$