Think of watching the lottery draw. You have 6 numbers and there are 40 to draw from.
On the first pick, you have a 6/40 chance of getting a match.
If you're successful, then on the second pick you have a 5/39 chance on the next pick (because one number is gone from your card and the draw), and so on.
Because all of the events are required to happen for you to get your 6 numbers, we multiply the individual probabilities together to get the overall probability.
6/40 x 5/39 x 4/38 x 3/37 x 2/36 x 1/35 = 1/3838380
So the chance of getting all six numbers is a little better than 1 in 4 million.
Assuming there are six numbers drawn out of the set from 1 to 49, without replacement: There are 15 out of 49 of these numbers that are prime. So the probability would be (15 - 9)! / (49 - 43)! = (15 * 14 * 13 * 12 * 11 * 10) / (49 * 48 * 47 * 46 * 45 * 44) = (24325271111131) / (27335172111231471) = (5 * 13) / (8 * 3 * 7 * 23 * 47) = 65 / 181608
Very low. If you start with a bag of 40 green and 40 red, the probability of getting a red is 40 in 80. The probability of getting the next one is 39 in 79. The probability of getting the next one is 38 in 78. And so on and so forth. Calculating for 10 reds: 40/80 39/79 38/78 37/77 36/76 35/75 34/74 33/73 32/72 31/71 = 0.0005148
the probability is put into a fraction for you. 4/10 which is simplified to 2/5. 2/5=40% the probability you will bowl a strike is 40%.
20, 40, 50
The answer depends on how many cards are drawn. If 40 are drawn without replacement, from a normal deck, the probability is 1. If 3 are drawn the probability is 0!
There is no way to know what the numbers will be in the 1:40 Rajshri lottery. Numbers are selected at random in a lottery.
The numbers on the lottery ticket are: 17, 44, 4, 26, 37, 40, and 22
The probability is 11/21.
They are: 29, 52, 5, 38, 40, 4
40%
The probability is 0.48
To calculate the odds of winning lotto where choose say 6 numbers out of 40 for example the calculation is 40X39X38X37X36X35 divided by 6X5X4X3X2X1 or about 3.8 million to 1 on any one line. If you have 45 numbers to choose from it would be 45X44X43X42X41X40/6X......etc or about 8.2 million to 1.
Assuming there are six numbers drawn out of the set from 1 to 49, without replacement: There are 15 out of 49 of these numbers that are prime. So the probability would be (15 - 9)! / (49 - 43)! = (15 * 14 * 13 * 12 * 11 * 10) / (49 * 48 * 47 * 46 * 45 * 44) = (24325271111131) / (27335172111231471) = (5 * 13) / (8 * 3 * 7 * 23 * 47) = 65 / 181608
They have probably come up in some lottery in some country.
1/10
17, 23, 32, 40, 12
40/50