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I\'ve got my answers, just want to make sure I\'ve got the concept correct. 1. T

ID: 1886783 • Letter: I

Question

I've got my answers, just want to make sure I've got the concept correct.

1. Two draws will be made at random from a box containing 5 marbles, red, yellow, green, black and blue. The unconditional probability of getting a red marble on the first draw is . The unconditional probability of getting a red marble on the second draw is .

a. The chance that the first draw turns out to be the red marble and the second draw turns to be the red is when the draws are made __________ replacement, because then the events are________________.
b. The chance that the first draw turns out to be the red marble and the second draw turns to be the red is 0 when the draws are made __________ replacement, because then the events are________________.
c. The chance that at least one of the two draws turns out to be the red marble must be calculated as when the draws are made ______________, because then the events are not ______________.
d. The chance that neither of the two draws turns out to be the red marble is when the draws are made_____________________
Replacement, because then the draws are not___________________.
e. The chance that neither of the two draws turns out to be the red marble is when the draws are made_____________________
Replacement, because then the draws are ___________________.
Fill in the blanks using one options from each pair below for each sentence.
(with, without) (independent, mutually exclusive)

Explanation / Answer

I've got my answers, just want to make sure I've got the concept correct.

1. Two draws will be made at random from a box containing 5 marbles, red, yellow, green, black and blue. The unconditional probability of getting a red marble on the first draw is ...

WE HAVE ONLY ONE CHANCE ..SO...P=1/5

The unconditional probability of getting a red marble on the second draw is .

THE I DRAW SHALL BE NON RED ..CAN HAPPEN WITH 4/5 PROBABILITY..

FOR THE II DRAW WE HAVE PROBABILITY OF 1 RED BALL AS 1/4

SO PROBABILITY OF THIS EVENT = [4/5][1/4] =1/5

a. The chance that the first draw turns out to be the red marble and the second draw turns to be the red is when the draws are made __WITH OUT________ replacement, because then the events are__MUTUALLY EXCLUSIVE______________. ..SOME THING MISSING ....DO YOU MEAN P IS SAME BECAUSE ?
b. The chance that the first draw turns out to be the red marble and the second draw turns to be the red is 0 when the draws are made _WITH_________ replacement, because then the events are__MUTUALLY EXCLUSIVE______________.
c. The chance that at least one of the two draws turns out to be the red marble must be calculated as when the draws are made __WITH REPLACEMENT ____________, because then the events are not ___MUTUALLY EXCLUSIVE___________.

[BUT STRICTLY SPEAKING WE CAN CALCULATE THE PROBABILITIES FOR ANY VARIANT WITH OR WITHOUT REPLACEMENT ]...I DO NOT THINK THAT THE QUESTION IS PROPERLY WORDED.

WE CAN SELECT FROM THE BLANKS BUT IT DOES NOT MAKE A PROPER READING ..

d. The chance that neither of the two draws turns out to be the red marble is when the draws are made________WITHOUT_____________
Replacement, because then the draws are not___________________.
e. The chance that neither of the two draws turns out to be the red marble is when the draws are made_____________________
Replacement, because then the draws are ___________________.
Fill in the blanks using one options from each pair below for each sentence.
(with, without) (independent, mutually exclusive)

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