Blood comes in four types: O, A, B, and AB. The percentages of people in the United States with each blood type are shown below.
Blood Type Percentage
-----------------
O 46
A 40
B 10
AB 4
Problems:
i) What is the probability that two people getting married both have blood type O?
ii) What is the probability that two people getting married both have the same blood type?
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The probability of an O blood type marrying another one is 46/100.
ReplyDeleteThe probability of an A blood type marrying another one is 40/100.
The probability of an B blood type marrying another one is 10/100.
The probability of an AB blood type marrying another one is 4/100.
23% that 2 people getting married both have blood type O. the chance that 2 people getting married that have the smae blood type is 50%. how i got my first answer was i took the info i had:46% people have blood type O, i divided by 2 because there are 2 people getting married and i got 23%. for the second question i added up all the blood type percentages: 46%+40%+10%+4%= 100%. then i divided by 2 because its 2 people getting married so that is: 50%.
ReplyDelete~Adele~
i) that was hard. but I got 21%
ReplyDeleteii) I got 6%.
i) For one person the probability of having o blood type would be: 46/100 percent, but for two people you have to divide the number by two, making the answer 23/100 percent
ReplyDeleteii) The probability of two people getting married both have the same blood type is 50/100 percent. I get this because i divided all the blood type percentages by two, which means i added 23+20+5+2 which = 50. 50 is half of one hundred. you have a 1/2 chance or a 50/100 chance.
i): I will first explain my way of thinking. you have to pick up 100 people, out of those 100 46 have blood type O. Then, you have to repeat the process. but, this time, it is 45/99 because there is one individual less. Now, you have to multiply: 46/100 x 45/99. This will give you 2070/9900, or in other words, 20%. The reason you have to multiply as opposed to add, is because it is a seperate group of people. So my answer is 20% or 2070/9900
ReplyDelete1) It is a 21.16% chance the operation i used was 46(the percentage of type O)X0.46 equals 21.16
ReplyDelete2)So the answer is 38.32 which is(46X0.46=21.16)21.16+16(40X0.40)+1(10X0.10)+0.16(4X0.04)=38.32
Your Friendly Neighborhood Spiderman
The probability of two married people having blood type O is 1/8 (8 because there are two people, not just one. if there was just one, it would be /4), and the probability of two married people having the same blood type is 4/8, because there are 4 possibilities, and two people ( hence /8 also).
ReplyDeletei) The probability that two people getting married have type O blood = 0.46 x 0.46 = 0.2116
ReplyDeleteii) The probability that two people getting married have the same type of blood
= (0.46 x 0.46) + (0.4 x 0.4) + (0.1 x 0.1) + (0.04 + 0.04)
= 0.2116 + 0.16 + 0.01 + 0.0016
= 0.3832
First I turned each blood type into a decimal, then multiplied them by themselves and added it all together to get 0.3832.
ii: What i did to figure out this problem is the same as what i did for the other one,my thinking is also the same, but with more blood types. Here it is.
ReplyDeleteBlood Types
O= 46/100 x 45/99 = 20.9%
A= 40/100 x 39/99 = 15.7%
B= 10/100 x 9/99 = 0.9 %
AB= 4/100 x 3/99 = 0.1 %
Then i added up all the percents.
O+A+B+AB =20.9%+ 15.7% + 0.9% + 0.1 % = 37.6%
So my answer is 37.6 %. I hope i did this right because or else both my answers are wrong but...
Okay first off, Is it true that its bad for you and you boyfriend/fianace/husband, and how do you NOT try to find the population of THE ENTIRE U.S!? Anyways, its 1/23, I got that because 2 ppls out of the 46% would be like 25 of a percantage so YOUR MAKING A PERCANTAGE FROM A PERCENTAGE i think. And with iii it's 1/23, 1/20, 1/5 ,and 1/2. I really can/t explain this with words or else this rely ould become something like an essay. Only because the paper i used to figure this out with was just filled with scribbles, doodles, and a heck of a lot of numbers. SORRY! :)
ReplyDeleteI) According the the chart the theoretical probability of two people getting married who both have blood type O is 23 in 100. This is because one person has a 46 in 100 chance. With two people you need to half it so you get 23 in 100.
ReplyDeleteII) The theoretical probability of two people with the same blood type getting marries is 50 in 100 or 1 in 2. To get this you half the percentage of each blood type then add them all up, 23+20+5+2=50. You do this because with two people the chances are half as large as with one. So it is a 23 in 100 chance with O, a 20 in 100 chance with A, a 5 in 100 chance with B and finally a 2 in 100 chance with AB.
For both answers the experimental probability might be different.
I) The probability of having two people with the blood type O getting married is 21.16%. I found this by multiplying .46 by .46
ReplyDeleteII) The probability of having two people with the same blood type getting married 38.32%. I found this by adding the percentages of people getting married with the same blood type.
i)the probability of two people getting married that both have blood type O is 46%.
ReplyDeleteii)???
i) = 46%?............ 46/100 or..... 23 out of 50........ less than 50% so it is unlikely.....
ReplyDeleteii) Veeeeerrrryyy Unlikely.....O = 46%, A = 40 %, B= 10% and AB = 4%. Ab is super unlikely. A is more likely than Ab and B but less likely than O so it is still very unlikely. Both having AB is very unlikely for it is only a 4% chance. B is a 10th of the population so it is pretty unlikely due to the millions that live there. A is a nearly as much as O and O is nearly half, they have a near chance........
BUT WAIT... THERES MORE!!! i just had a crazy vision just like raven from thats so raven and i saw... the answer! i just found ouit there are thirteen marriage possibilities therefore mixing the two together there is a 1/14 chance of getting both with 0 becasue 0and 0 is one of the 14 combinations. im sleepy.
ReplyDeletethe probz of 2 peeps getting married is quite easy once u have completed the first all you have 2 do is go hmm. i like mcdonalds fries but wendys chicken nuggets are just so much better. then say there are 4 possibilities of getting either 0 and 0 or a and a or b and b or ab and ab! so 4/14!@!