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Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
1. What is the theoretical probability that the family has two dogs or two cats?

- anonymous

- chestercat

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- anonymous

- anonymous

- welshfella

draw a tree diagram
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## More answers

- anonymous

what??

- welshfella

P (2 cats) = 0.5*0.5

- anonymous

0.25

- welshfella

|dw:1438709623610:dw|

- welshfella

Going along the cat / cat branch we multutiply 0.5 by 0.5 to get
P = 0.25 or 25%

- anonymous

sooooo....

- welshfella

P(2 dogs) = 0.25 also

- anonymous

yes

- welshfella

P(cat and dog)
follows 2 paths so its 0.25 + 0.25 = 0.5

- anonymous

i dont understand what is the answer

- welshfella

|dw:1438709856132:dw|

- anonymous

So what is the answer

- welshfella

Probability of 2 cats or 2 dogs = 0.25 + 0.25 = 0.50 or 50%

- anonymous

oh pellet i read it wromg this is actually so simple

- welshfella

going along the branches you multiply the probabilities If its a choice of one branch OR the other you ADD the probabilities

- anonymous

OMG im dying i wrote s h i t and when i npressed post it spell corrected to pellet

- welshfella

is that right!!?? lol

- anonymous

ya try it

- welshfella

pellet

- anonymous

no do it all together

- anonymous

HAHAH see

- welshfella

lol yea

- anonymous

well thanks

- welshfella

yw

- anonymous

can yyou helpme with another one

- anonymous

????

- welshfella

one thing worth remembering with probabilities is AND = * and OR = +
cat AND cat = * , 2 dogs OR 2 cats = +

- welshfella

ok

- anonymous

ok

- anonymous

2. Describe how to use two coins to simulate which two pets the family has.
3. Flip both coins 50 times and record your data in a table like the one below.

- anonymous

it still has to do with the first question

- welshfella

let cats = heads and dog = tails - toss the coin.
This is similar to to the question because there is an equally likely chance to get a head as a tail.

- welshfella

* toss the 2 coins

- anonymous

but it says 2 coins

- welshfella

yea - you will toss 2 coins together or one after the other that does noy matter

- anonymous

oh huh ok

- anonymous

thx

- welshfella

yw

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