anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
i really need help please i dont understand
Vocaloid
  • Vocaloid
let's break the problem down step by step: 1. how many purple marbles are there? 2. how many total marbles are there?
anonymous
  • anonymous
7

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Vocaloid
  • Vocaloid
yes, there are 7 purple marbles. how many total marbles are there?
anonymous
  • anonymous
9
Vocaloid
  • Vocaloid
Excellent! so what is the probability of getting a purple marble?
anonymous
  • anonymous
7/9?
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
2/9
Vocaloid
  • Vocaloid
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
Vocaloid
  • Vocaloid
in other words, the probability of getting purple, then white is: (probability of getting purple)*(probability of getting white)
anonymous
  • anonymous
so 7/9 X 2/9?
Vocaloid
  • Vocaloid
yup!
anonymous
  • anonymous
ok one sec
anonymous
  • anonymous
0.17283950617
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
oh ok yes
Vocaloid
  • Vocaloid
ok, do you think you can answer #2? 2. what is the probability of selecting two white marbles?
anonymous
  • anonymous
ummmmm 7/81?
anonymous
  • anonymous
14/81 right
Vocaloid
  • Vocaloid
hint: probability of getting a white marble: 2/9
Vocaloid
  • Vocaloid
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)
anonymous
  • anonymous
ok
anonymous
  • anonymous
that would be 1/9 right?
anonymous
  • anonymous
si 1/9 x 1/9
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
the probability of getting one white marble is 2/9, do you agree?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so 2/9 x 2/9???
Vocaloid
  • Vocaloid
YES! excellent! you just finished #2, let's work on #3 what is the probability of getting two purple marbles?
anonymous
  • anonymous
so two is 4/81 right
anonymous
  • anonymous
?????
Vocaloid
  • Vocaloid
yes, number 2 is 4/81
Vocaloid
  • Vocaloid
let's work on number 3: what is the probability of getting two purple marbles?
anonymous
  • anonymous
7/9 x 7/9?
Vocaloid
  • Vocaloid
great! now, what is the probability of getting two white marbles?
anonymous
  • anonymous
49/81 and 4/81?
Vocaloid
  • Vocaloid
great! now, which number is bigger?
anonymous
  • anonymous
49/81
Vocaloid
  • Vocaloid
great, so, can you answer question #3 now?
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
yes there is a greater chance a of getting 2 purple marble than 2 white marbles
Vocaloid
  • Vocaloid
AWESOME! you're done ~
anonymous
  • anonymous
THANK YOU SO MUCH

Looking for something else?

Not the answer you are looking for? Search for more explanations.