![]() So the odds of drawing on the $20$ draw is = Probability that is wasn't drawn in the first 19 * Probability it wasn't drawn from the remaining = $33/52 * 1/33$ = $ 1/52$. The probabily that it wasn't in the first 19 cards is the probability that it wasn't the first AND it wasn't the second AND it wasn't the third. The probability that the ace wasn't in the first two cards is that is wasn't in the first card and it wasn't in the second. ![]() Probability that the first card wasn't the Ace of Spaces is 51/52. The probability of never having drawn the ace in the first 19 draws is the probability that it wasn't the first, it wasn't the second, and so on. The probability of drawing on the 20th is the probability of one in the 33 cards remaining BUT you have to take into account that it also has to be the case that you never drew the card in the first 19 draws. You aren't actually doing your calculations right. I would like to be assured if first of all the solution I gave is correct, or corrected if I am wrong, I would also appreciate if you could provide other helpful ideas, methods which I could to tackle these kind of problems. Well the first 19 drawn cards must have resulted in other values than the ones required and considering the fact that cards drawn can not be replaced, the denominator or sample space always decreases by 1 until exactly the criterion of having to draw between 20 and 30 cards is met. I've thought about this problem a lot, and I just do not understand the thinking put behind it, this problem clearly requires more attention, order does matter and the fact that the cards drawn can not be replaced made me doubt the above solution. Where the numerator denotes the sum from the 20th to the 30th draw, and the denominator the sum of all possible draws from the 1st until the 52nd. What is the probability that we draw between 20 and 30 cards? Draw cards repeatedly, without replacement, from a standard 52-card deck until we find the ace of spades.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |