Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$’s do we have to add to make the expected value equal to $6$

Answers

Value of the given statement:

4.36

5

6

38

What is Probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event’s impossibility and 1 denotes its certainty.

According to the given information:

1) There are a total of 10 slips after adding.

8 slip with 3 on it

2 slips with 9 on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

= (8 / 11) x 3 + (2/ 11) x 9

24 / 11 + 24 / 11 = 4.36

2 )No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9 on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

= (8 / 12) x 3 + (4 / 12) x 9

2 + 3 = 5

3 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n slips with 9 on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

= (8 / 10+n ) x 3 + (2+n / 10+n ) x 9 = 6

24 + 18 + 9n / 10 + n = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n slips with 9 on it

expectation value = probability of 3 x 3 + probability of 9 x 9

I understand that the question you are looking for is:

1:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag? 2:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add two additional $9$’s (instead of just one) to the bag? 3:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$’s do we have to add to make the expected value equal to $6$? 4:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$’s do I have to add before the expected value is at least $8$?

Valueof the given statement:4.365638## What is Probability?

probabilitydeals with numerical descriptions of how likely it is for aneventto happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event’simpossibilityand 1denotesits certainty.Probabilityvisit:#SPJ4