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Mathematics 80 Online
jamiesmith:

Use a tree diagram to explain why the probability that a

Vocaloid:

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Vocaloid:

then you'd circle all the branches that have exactly 2 girls and 2 boys, since they state the probability is 3/8 then there should be 6 of these branches out of the 16 total branches

Vocaloid:

|dw:1532143020001:dw| like, see how this branch has 2 M's and 2 F's? you would circle all branches that have 2 M's and 2 F's representing 2 boys and 2 girls

Vocaloid:

sure

Vocaloid:

if it's like a pdf or word document you can use the attach file button

Vocaloid:

it says unit test - does your teacher allow collaboration on this assignment?

Vocaloid:

alright cool give me a few minutes to check over the assignment

Vocaloid:

hm, check #6 again "tossing exactly 2 tails" there are three ways this can happen TTH THT HTT so 3 outcomes/the total # of outcomes for flipping 3 coins = ?

lannasum:

@vocaloid im actually have the same problem and im wondering if you can make the diagram for me as well as i am having troubles constructing it

Vocaloid:

good

Vocaloid:

for #12 55% were born in canada, 85% speak english at home which means 15% do not speak english at home so 0.55 * 0.15 is the first part of the solution so C can be the only viable sol'n

Vocaloid:

you had D marked as your solution

jamiesmith:

oh wait I put d

Vocaloid:

for 14a) do you see how on the table there are 36 outcomes and 6 outcomes that have a sum less than 5? so 6 outcomes/36 total outcomes

jamiesmith:

yup

Vocaloid:

14b) is mathematically correct but you should simplify 1 - 6/36

jamiesmith:

so simplify it making it 1/6

Vocaloid:

1 - 6/36 is 30/36 not 1/6 or in other words, 5/6

Vocaloid:

16 is good but make sure to put a fraction symbol between the numerator and denominator 646,645/646,646

Vocaloid:

17) they want to know if there is any possibility of the predictions being correct. there are only three outcomes (winning, losing, or tying) so you must see if the predicted outcomes add up to 1 or not, to see if his predictions could possibly be valid

Vocaloid:

what

Vocaloid:

there are three possible outcomes winning losing tying he has made predictions for the outcomes of all three events. they must add up to 1 for his prediction to be valid. see if the three probabilities sum up to 1.

Vocaloid:

646,645/646,646

Vocaloid:

the fraction bar comes after the first six digits

Vocaloid:

yup good

Vocaloid:

you need to add the three fractions and see if the result is 1 or not

Vocaloid:

his predictions: winning = 2/9 tying = 1/2 losing = 2/5 you just need to add 2/9 + 1/2 + 2/5 and see if it equals 1 or not

Vocaloid:

check your calculations again 2/9 + 1/2 + 2/5 = 101/90 making the coach's predictions invalid

Vocaloid:

alright for 18 "probability of getting out of jail without paying a fine" is essentially "probability of rolling doubles at least once in three attempts" we can find this by calculating the opposite probability (probability of not rolling doubles three times in a row) and doing 1 minus that probability

Vocaloid:

there are 6 ways out of 36 ways to roll doubles, or 1/6 to simplify the probability of ~not~ rolling doubles is therefore 1 - 1/6 or 5/6 not rolling doubles three times in a row: (5/6)(5/6)(5/6) 1 minus that probability = 1 - (5/6)(5/6)(5/6) ----> simplify this to get the sol'n

Vocaloid:

for #21 you can't just draw the tree, you also need to show why the probability of getting 2 girls 2 boys is 3/8 as stated before, there are 16 possible outcomes, you must show that 6 out of those 16 outcomes involve 2 girls and 2 boys

Vocaloid:

yes, mark or circle all the branches with exactly 2 boys 2 girls

Vocaloid:

alright cool everything else should be ok to the best of my knowledge

Vocaloid:

uh well there's a "best response" button, you can click that if you'd like

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