1.2
whats the probability that three times in a row without looking i can pick out an outmeal cookie without replacing them?
504 The first toy you pick, there are 9 possible toys. If you don't replace it, there are 8 possibilities on your next pick. If you don't replace that, it leaves 7 possibilities for the next pick. 9 times 8 times 7 is 504.
When you pick an object and do not return it, in probability it is termed "without replacement".
So I guess the counters are numbered 1 through 7, and you pick one of them. There are 7 possibilities, 3 of them are even numbers {2,4,6}, so the probability is 3 out of 7. 3/7 = approx. 42.86%
Empirical probability is based on data gained through experimentation. If there is cause to believe that, for example, there is some bias in the balls of the lottery machine, looking at the outcome for a long period of time may show this. Theoretically, the probability of someone winning a pick-three lottery, where the numbers range from 000 to 999, is 1/1000 because you pick one 3-digit combination from the 1,000 available.
If you pick 37 cards without replacement, or pick a card from the bottom of a mint deck, the probability is 1: it is a certainty. If you pick a random card from a deck, then the probability is 4/13.
Well there are six possibilities, the four jacks and the two black threes. This gives us a fraction of 6/52 which is a percentage of 11.54%
7/26
It is (5/14)^2 = 0.1276, approx.
The probability of drawing two Aces from a standard 52 card deck is (4 in 52) times (3 in 51) or (12 in 52851) or (4 in 17617) or about 0.0002271.
The probability is 1 - if you pick 40 cards without replacing them.
There are 12 picture cards and 38 non-picture cards in a deck of 52 cards. The probability that you do not pick a picture card is therefore 38/52 = 19/26.