Consider a state lottery where you get to choose 8 numbers
from 1 to 80, no repetition allowed. The Lottery Commission
chooses 11 from those 80 numbers, again no repetition. You
win the lottery if at least 7 of your numbers are there in
the 11 chosen by the Lottery Commission.
What is the probability of winning the lottery?
- 2 Answers
- 5615 Views
- I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / guest
The probability of winning the lottery is two in one billion
i.e. only two person can win from one billion!!!
Let's find out sample space first. The Lottery Commission
chooses 11 numbers from the 80. Hence, the 11 numbers from
the 80 can be selected in 80C11 ways which is very very high
and is equal to 1.04776 * 1013
Now, you have to select 8 numbers from 80 which can be
selected in 80C8 ways. But we are interested in only those
numbers which are in 11 numbers selected by the Lottery
Commision. There are 2 cases.
? You might select 8 numbers which all are there in 11
numbers choosen by the Lottery Commission. So there are 11C8
ways.
? Another case is you might select 7 lucky numbers and 1
non-lucky number from the remaining 69 numbers. There are (
11C7 ) * ( 69C1 ) ways to do that.
So total lucky ways are
= ( 11C8 ) + ( 11C7 ) * ( 69C1 )
= (165) + (330) * (69)
= 165 + 22770
= 22935
Hence, the probability of the winning lottery is
= (Total lucky ways) / (Total Sample space)
= (22935) / ( 1.04776 * 1013)
= 2.1889 * 10-9
i.e. 2 in a billion.
| Is This Answer Correct ? | 5 Yes | 0 No |
there r 100 people who buys juice if v take 500 random sample we find 75 people who buys juice then how many random sample they need 2 find remaining 25 buyers
Ek nadi ka Name Ek Ladki ka Name Ek PHOOL ka Name 3 sawalon ka jawab ek hi hona chahiye wo bhi Ek film ka Name hai...........
46 Answers Ansor, Eagle, FGG, Ganga, Godavari, Infosys, JPSC Jharkhand Public Service Commission, Nilkamal, Parimal, Shani, Sola, SSC, Ugar,
Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age?
Five horses ran in the race. ? There were no ties. ? Sikandar did not come first. ? Star was neither first nor last. ? Mughal Glory came in one place after Sikandar. ? Zozo was not second. ? Rangila was two place below Zozo. In what order did the horses finish?
there are 5 ppl's in a circle all must wear hat either white or black 1st condition: atleast 2 must wear white 2nd condition: atleast 2 must wear black 3rd: they should not talk each with other Question: How they come to know which colour of hat they are wearing
how soon can you travel down to start your new job?
What is the smallest number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6 and so on until when divided by 2 leaves a remainder of 1?
What is the minimum number of numbers needed to form every number from 1 to 7,000? Example: To form 4884, you would need 2 4s & 2 8s. 4822 requires a 4, a 8, & 2 2s, but you would not count the numbers again that you had already counted from making 4884.
If a monkey climbs 3 mts and then slips back 2 mts in alternate hour , how much time he will take to climbs 20 mts?
Given 3 jabs A,B,C with capacities 10L 8L 5 L You can get water from tap or pour away the water in the jar 1. How do you get 9L in jar A? 2. How do you get 7L in jar B?
How many squares are there in a 5 inch by 5 inch square grid? Note that the grid is made up of one inch by one inch squares.
Kate, Demi, Madona, Sharon, Britney and Nicole decided to lunch together in a restaurant. The waiter led them to a round table with six chairs. How many different ways can they seat?
English 
