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In-a-certain-urn-there-are-3-blue-2red-and-5-yellow-marbles-Calculate-probability-that-atmost-2-marbles-will-be-red-if-3-marbles-are-drawn-without-replacement-




Question Number 142489 by jlewis last updated on 01/Jun/21
In  a certain urn there are 3 blue,  2red and 5 yellow marbles.  Calculate probability that atmost  2 marbles will be red if 3 marbles   are drawn without replacement
Inacertainurnthereare3blue,2redand5yellowmarbles.Calculateprobabilitythatatmost2marbleswillberedif3marblesaredrawnwithoutreplacement
Commented by mr W last updated on 01/Jun/21
at most 2 red marbles means:  no red marble or  one red marble or  two red marbles.  that means all possibilities!  ⇒p=1
atmost2redmarblesmeans:noredmarbleoroneredmarbleortworedmarbles.thatmeansallpossibilities!p=1
Commented by jlewis last updated on 02/Jun/21
please help,how does that   comes to be
pleasehelp,howdoesthatcomestobe
Commented by mr W last updated on 02/Jun/21
when you take three marbles from the  urn, there are only following cases:  no red marble  one red marble  two red marbles  so the probabilty that at most two  red marbles are taken it 100%.
whenyoutakethreemarblesfromtheurn,thereareonlyfollowingcases:noredmarbleoneredmarbletworedmarblessotheprobabiltythatatmosttworedmarblesaretakenit100%.

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