Question

What is the probability of picking 6 numbers out of 44 numbers and getting….. a) 6...

What is the probability of picking 6 numbers out of 44 numbers and getting…..
a) 6 out of 6 correct?
b) 5 out of 6 correct?
c) 4 out of 6 correct?
d) 3 out of 6 correct
plesse show your work and give full explaination how did you get it.
and give answer in number

Homework Answers

Answer #1

Answer:

Given,

n = 44

a)

6 out of 6 correct

Required probability = 6C6 / 44C6

[here nCr = n! / r!*(n-r)!]

= 1 / 7059052

Required probability = 1 / 7059052

b)

5 out of 6 correct

Probability = 6C5 * 39C1 / 44C6

= 6*39 / 7059052

= 234 / 7059052

Required probability = 234/7059052

c)

4 out of 6 correct

Now probability of getting = 6C4 * 40C2 / 44C6

= 15*780 / 7059052

= 11700 / 7059052

Required probability = 11700 / 7059052

d)

3 out of 6 correct

Probability = 6C3 * 41C3 / 44C6

= 20*10660 / 7059052

= 213200 / 7059052

Required probability = 213200 / 7059052

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Adder Start out by picking 2 positive six bit binary numbers that are less than 3210,...
Adder Start out by picking 2 positive six bit binary numbers that are less than 3210, written in 2's complement notation. The eventual goal is to add these two numbers. 1) Look at the LSB bit of the numbers, and using logic gates (NANDs, NORs, etc.) design a circuit that correctly gives the right output for any possible combination of bits in the LSB place. 2) Now look at the next column to the left (next to LSB). In this...
Roll a die (a) What is the probability of getting the first 6 at or before...
Roll a die (a) What is the probability of getting the first 6 at or before the fifth roll? (b) What is the probability of getting the third 6 at the tenth roll? (c) What is the expected number of rolls to get the fifth 6? (d) Given that the second 6 occurred at the tenth roll, what is the probability that the first 6 occurred at the fifth roll?
The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing 3...
The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing 3 numbers correctly nets a $10 prize, choosing 4 numbers grants a $50 prize, and choosing 5 numbers correctly gives a $5,000 prize. If the Lottery charges $1 a ticket and expects to precisely break even, how much should its prize for getting all 6 numbers correct be?
13. In a state lottery, you must correctly select 6 numbers (in any order) out of...
13. In a state lottery, you must correctly select 6 numbers (in any order) out of 32 to win the top prize. a) How many ways can 6 numbers be chosen from 32 numbers? (show work) ________________________ b) If you purchased one ticket, what is the probability that you will win the top prize? (show work) ________________________
(20) The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing...
(20) The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing 3 numbers correctly nets a $10 prize, choosing 4 numbers grants a $50 prize, and choosing 5 numbers correctly gives a $5,000 prize. If the Lottery expects to precisely break even selling $1 tickets, how much should its prize for getting all 6 numbers correct be?
4. A. Find the probability of picking a Jack of clubs, putting the card back in...
4. A. Find the probability of picking a Jack of clubs, putting the card back in the pack of 52, and then picking a 6 of spades? b. Find the probability of picking a Jack of clubs, not putting it back, and then picking a 6 of spades. c. How do you distinguish between the two types of events.
What is the probability of having 2 girls in a family of 5 children? Show your...
What is the probability of having 2 girls in a family of 5 children? Show your work. What is the probability that you see a number less than 4 if you randomly select out of numbers 1-10, assuming each number is equally likely? Show your work
B. Show the formula and calculate how to determine the probability of getting two threes before...
B. Show the formula and calculate how to determine the probability of getting two threes before you get another number if you roll a ten-sided die 5 times. C. What is the expected number of threes you roll before you roll another number?
17. A lottery consists of selecting 6 numbers from among the numbers 1 to 53. A)...
17. A lottery consists of selecting 6 numbers from among the numbers 1 to 53. A) How many ways are there to select 6 numbers from 53? B) Assuming there are 6 winning numbers and 6 are chosen at random, what is the probability of getting exactly 4 correct and 2 incorrect?
Megabucks is a lottery game played in Massachusetts . A random drawing of 6 numbers out...
Megabucks is a lottery game played in Massachusetts . A random drawing of 6 numbers out of all 36 numbers from 1 to 36 is made. In problems below you can give answers in terms of combinatorial symbols (combinations, permutations, etc.) a. To win the jackpot (which is usually worth several million dollars) a ticket should have correct all the 6 numbers drawn regardless of their order. (A filled ticket contains 6 numbers.) What is the probability that a randomly...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT