# Maths - Probability

posted by .

Tickets numbered 1 to 1000 were sold in a raffle for which there was one prize. Mr Kahn bought all the tickets containing at least one '3' because '3' was his lucky number. What was the probability of Mr Kahn winning?

• Maths - Probability -

From 1 to 99 there are 10 + 9 = 19 with at least one 3. They are:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93,
and 30, 31, 32, 34, 35, 36, 37, 38, and 39
From 100 to 199 there are 19 with at least one 3.From 200 to 299 there are again 19.
From 300 to 399 there are 100 with at least one 3 (all of them).
Using similar arguments, there are 6*19 = 114 more with at least one 3.

The total is 252 and the probability of winning is 25.2%

## Similar Questions

1. ### probability

A batch of 350 raffle tickets contatins 4 winning tickets. You buy 4 tickets. What is the probability that you have: a.) No winning tickets?
2. ### Probability

There are 3 lucky tickets among 10 lottery tickets. 3 tickets are drawn at random. What is a probability that one ticket selected randomly from those three is lucky?
3. ### math

Mr. and Mrs. Smith each bought 10 raffle tickets. Each of their three children bought four tickets. If 4280 tickets were sold in all, what is the probability that the grand prize winner is: a. Mr. or Mrs. Smith?
4. ### College Math

Volunteers working to raise funds for a new community library sold 1000 raffle tickets at \$10 each. Tickets are to be randomly drawn and prizes are awarded as follows: one prize of \$1,000, twenty prizes of \$50 and one hundred prizes …
5. ### Math

Volunteers working to raise funds for a new community library sold 1000 raffle tickets at \$10 each. Tickets are to be randomly drawn and prizes are awarded as follows: one prize of \$1,000, twenty prizes of \$50 and one hundred prizes …
6. ### Probability

A school is running a raffle for two prizes. 59 tickets were sold for the raffle, numbered 1,…,59. All the tickets are put into a hat and a teacher picks out two tickets which have numbers i and j from the hat. What is the expected …
7. ### statistics

1000 raffle tickets are sold and the winner is chosen at random there is only one prize \$500 in cash you buy one ticket(a) what is the probability you will win the prize of \$500 (b) your expected earnings can be found by multiplying …
8. ### math

There are 120 tickets being sold for a raffle contest. There is one winning ticket. Lana buys 10 tickets. What are the probability she will win the prize
9. ### Math Probability

The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many wining tickets should you expect to have?
10. ### math-probability

Bob buys three tickets in a raffle in which 500 tickets are sold. What is the probability of him winning" a) 1st prize b) 1st and 3rd prize c) 2nd and 3rd prize Helping me with either a, b, or c should help me answer the other questions, …

More Similar Questions