250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is at least 175 centimeters tall?
0.296
0.344
0.360
0.656

- anonymous

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- anonymous

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- mathmale

Because of the format of the table, I see this problem may include some "conditional probability." Familiar with that?

- anonymous

not really

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## More answers

- anonymous

but I believe the answer is C, atleast what I got

- mathmale

How many people are 175 to 180 cm in height?

- anonymous

90

- mathmale

True, and how many are taller than 180 cm?

- anonymous

74

- mathmale

Yes, and how many are 175 cm tall or taller?

- anonymous

90?

- mathmale

No. Think.

- mathmale

what does "or taller" mean?

- anonymous

you already asked me how many are 175 or taller and I answered 90

- mathmale

You were right. This new question is different from before.

- mathmale

How many people are between 175 cm and 300 cm tall?

- anonymous

I dont understand what youre asking

- anonymous

the graph stops at 180?

- mathmale

I know. I'm trying to get you to think.

- anonymous

IM SO CONFUSED

- mathmale

90 are 175 to 180 cm tall.
74 are above 180 cm. That could include people who are 230 cm. tall, right?

- mathmale

OK. Use this info to answer my question: how many people are 175 cm tall or taller?

- anonymous

74?

- mathmale

add together 90 and 74. Does this help?

- anonymous

yes holy crap thank you, so 164?

- mathmale

yes. so, 164 people are 175 cm tall or taller. what does holy crap look like? ;)

- anonymous

so how do I figure out the answer

- mathmale

how many peoople are there all together?

- anonymous

250

- mathmale

what fraction of 250 peoople is 164 people?

- anonymous

would I just divide 250 by 164?

- mathmale

no, 164 by 250.;

- anonymous

0.656

- mathmale

now compare that result to the four given answers.

- anonymous

Its D

- anonymous

can you help me with one more?

- anonymous

Its using the SAME graph we just used

- mathmale

Right. I like to teach by asking questions so that you can discover answers for y ourself.
Hope you didn't get too frustrated.
sure, let's see the next problem

- anonymous

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person taller than 180 cm is chosen at random what is the probability that the person has black hair?

- anonymous

& thats with the same graph we were already using

- mathmale

This is conditional probability.
have you worked problems in conditional probability before?

- anonymous

I think I may have

- mathmale

OK. We are told that the person chosen is taller than 180 cm, right?

- anonymous

yes

- mathmale

OK, now look at the table again. how many are taller than 180 cm?

- anonymous

74

- mathmale

right. now, that 74 is broken down into categories. Do you see one category labeledd "black hair?"

- anonymous

yes 29

- mathmale

OK. We don't give a darn about anybody who's not over 180 cm tall.
So, y ou concentrate on that group of tall people only. Forget the 250.
You say, of 74, 29 have black hair?

- anonymous

yes so divide 29 by 74?

- mathmale

yes. and then compare your result to the possible answers.

- anonymous

I got 0.391 and the one answer is 0.392

- anonymous

Do I just round up?

- mathmale

close enuf.

- mathmale

Be sure you understand the reasoning here.

- anonymous

thank you so much for the help

- anonymous

hey

- mathmale

of the people taller than 180 cm, how many do NOT have black hair?

- anonymous

quick question

- mathmale

I'll be quick, I promise.

- anonymous

last one LOL

- mathmale

Oh, really?
what's the last qu?

- anonymous

Based on the data in this two-way table, what is the probability of a girl having above-average grades?
0.29
0.51
0.58
0.60

- anonymous

Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75

- anonymous

can you help me real quick?

- mathmale

this is also conditional probability. You are told that the person chosen at random is a girl. Forget aboput those boys; they don't count.

- mathmale

Now, how many girls are there?

- anonymous

in total?

- anonymous

or with above average grades

- mathmale

total number of GIRLS only.

- mathmale

Look at the table, really quick.

- anonymous

38

- mathmale

concentrating on girls ONLY, how many of the students have above average grades?

- mathmale

synskii?

- mathmale

sTILL THERE? surely would appreciate having your full attention.

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