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anonymous
 one year ago
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?
anonymous
 one year ago
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i really need help please i dont understand

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1let's break the problem down step by step: 1. how many purple marbles are there? 2. how many total marbles are there?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yes, there are 7 purple marbles. how many total marbles are there?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! so what is the probability of getting a purple marble?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yes! 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?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1great, 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

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1in other words, the probability of getting purple, then white is: (probability of getting purple)*(probability of getting white)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1uh, you don't have to do that, you can just leave it as a fraction (7/9)*(2/9) = 14/81, do you agree?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1ok, do you think you can answer #2? 2. what is the probability of selecting two white marbles?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1hint: probability of getting a white marble: 2/9

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1no, 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)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that would be 1/9 right?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1not quite, please remember step 1: what is the probability of getting a white marble? there are 2 white marbles and 9 total marbles, remember?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1the probability of getting one white marble is 2/9, do you agree?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1YES! excellent! you just finished #2, let's work on #3 what is the probability of getting two purple marbles?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so two is 4/81 right

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yes, number 2 is 4/81

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1let's work on number 3: what is the probability of getting two purple marbles?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1great! now, what is the probability of getting two white marbles?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1great! now, which number is bigger?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1great, so, can you answer question #3 now?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1is there a greater chance of selecting two white marbles in row or two purple marbles in row? purple or white, which one is bigger?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes there is a greater chance a of getting 2 purple marble than 2 white marbles

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1AWESOME! you're done ~
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