<span>60/5= 12
Just take 60min. and divide it into 5 sections.
So, 1/5 of an hour is 12 minutes.</span>
(a) No. The probability of drawing a specific second card depends on the identity of the first card.
Two events are independent if knowledge on the first doesn't change anything about the probability distribution of the second event. This isn't the case: since you don't replace the first card, you have some extra knowledge about the second.
If, for example, you pick the 7 of hearts at the beginning, you are sure that the second card won't be the 7 of hearts. This extra piece of information depends on the first pick, and so the two pick are not independent: knowledge about the first pick changed what you expect from the second pick.
(b)
The probability of finding ace on 1st card is 4/52 = 1/13, because there are four aces (one for each suit) out of 52 cards. If this happens, you're left with 51 cards, 4 of which are kings (one for each suit). So, the probability of picking a king among the remaining cards is 4/51. The probability of the two happening one after the other is
(c)
You can use the same logic as point (b)
(d)
We have 8 "good" cards for the first pick: any of the 4 aces or any of the 4 kings. So, the first pick has a success rate of 8/52 = 2/13. For the second pick we have 4 "good cards" (the 4 aces if we picked a king, the 4 kings if we picked an aces) out of the 51 remaining cards, so we have a success rate of 4/51. So, the probability of picking an ace and a king, in any order, is
Hope this helps! Good luck!
The Dewey Decimal Classification System is a method used
to calssify books in the library. It was named after Melvil Dewey who developed
it in 1876. The system uses numbers to organize the subjects of each nonfiction
books and are divided into 10 main subject groups called categories. Each category
is presented by a figure starting from 000 to 999. Each number presents a
special topic. Books with the same number are placed in alphabetical order by
the last name of the author. The first digit of a three digit number signifies
the main class. Suppose you have 500, the 5 in signifies natural sciences and
mathematics. The second digit signifies the division and the last digit signifies
the sections.