ok so, a bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random one marbles drawn and replaced. then the second is drawn 1. what is the probability of selecting a purple marble and then a white marble? 2. what is the probability of selecting two white marbles? 3. is there a greater chance of selecting two white marbles in row or two purple marbles in row?

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ok so, a bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random one marbles drawn and replaced. then the second is drawn 1. what is the probability of selecting a purple marble and then a white marble? 2. what is the probability of selecting two white marbles? 3. is there a greater chance of selecting two white marbles in row or two purple marbles in row?

Mathematics
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i really need help please i dont understand
let's break the problem down step by step: 1. how many purple marbles are there? 2. how many total marbles are there?
7

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yes, there are 7 purple marbles. how many total marbles are there?
9
Excellent! so what is the probability of getting a purple marble?
7/9?
yes! since the problem says "with replacement" that means that after we put the purple marble back, there are still 7 purple marbles and 2 white marbles. my next question: what is the probability of getting a white marble?
2/9
great, you're doing very well so far! ok, so #1 is asking "what is the probability of getting a purple marble AND a white marble" that means you have to multiply the probability of getting a purple marble, times the probability of getting a white marble
in other words, the probability of getting purple, then white is: (probability of getting purple)*(probability of getting white)
so 7/9 X 2/9?
yup!
ok one sec
0.17283950617
uh, you don't have to do that, you can just leave it as a fraction (7/9)*(2/9) = 14/81, do you agree?
oh ok yes
ok, do you think you can answer #2? 2. what is the probability of selecting two white marbles?
ummmmm 7/81?
14/81 right
hint: probability of getting a white marble: 2/9
no, the answer to number 1 is 14/81, let's find the answer to number 2 using the same logic probability of getting two white marbles = (probability of getting one white marble)*(probability of getting one white marble)
ok
that would be 1/9 right?
si 1/9 x 1/9
not quite, please remember step 1: what is the probability of getting a white marble? there are 2 white marbles and 9 total marbles, remember?
yes
the probability of getting one white marble is 2/9, do you agree?
yes
so 2/9 x 2/9???
YES! excellent! you just finished #2, let's work on #3 what is the probability of getting two purple marbles?
so two is 4/81 right
?????
yes, number 2 is 4/81
let's work on number 3: what is the probability of getting two purple marbles?
7/9 x 7/9?
great! now, what is the probability of getting two white marbles?
49/81 and 4/81?
great! now, which number is bigger?
49/81
great, so, can you answer question #3 now?
is there a greater chance of selecting two white marbles in row or two purple marbles in row? purple or white, which one is bigger?
yes there is a greater chance a of getting 2 purple marble than 2 white marbles
AWESOME! you're done ~
THANK YOU SO MUCH

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