UCAT: Decision Making

[N182]

OHHH if it said 1 girl however, we would multiply it by 2 because there are 2 ways in which we can get that right??
So it'll be ( 1/2 * 1/2 ) *2 = 1/2

yeah, you can also see that from all the possibilites since BGB and BBG satisfy so 2/4=1/2, also note for BGG the first G and second G aren't distinct, so if you did perms and combs this would be like a permutation question with repeats, how manys ways I arrange 3 children from any number of identical boys or girls basically.

 

[2xq]

OHHH if it said 1 girl however, we would multiply it by 2 because there are 2 ways in which we can get that right??
So it'll be ( 1/2 * 1/2 ) *2 = 1/2

So heres the thing. For 3 children where the 1st is a boy, there are BGG, BBB, BGB, BBG.

If you're talking at least 1 girl with the initial condition of 1st child being a boy, it would be 3/4.

If you're talking EXACTLY 1 girl with initial condition, it would be 1/2.

 

[nb]

Righttt. How about this.
Find the prob that at least one head is flipped out of 4 tosses given the first is a tail.
I would say that answer is 7/8.
Because prob of at least 1 head is just 1-pr(none) so prob of none will just be 1/2 * 1/2 * 1/2 which is 1/8. 1 -1/8 is 7/8. Do u agree?

 

[N182]

Righttt. How about this.
Find the prob that at least one head is flipped out of 4 tosses given the first is a tail.
I would say that answer is 7/8.
Because prob of at least 1 head is just 1-pr(none) so prob of none will just be 1/2 * 1/2 * 1/2 which is 1/8. 1 -1/8 is 7/8. Do u agree?

yes.

 

[2xq]

Righttt. How about this.
Find the prob that at least one head is flipped out of 4 tosses given the first is a tail.
I would say that answer is 7/8.
Because prob of at least 1 head is just 1-pr(none) so prob of none will just be 1/2 * 1/2 * 1/2 which is 1/8. 1 -1/8 is 7/8. Do u agree?

Tail 1st is the initial condition.
Possible Outcomes : TTTT, TTTH, TTHH, THHH, THTT, THTH, THHT, TTHT.
therefore at least 1 head would be 7/8 yes.

your way involves the complimentary so it still works.

 

[nb]

Tail 1st is the initial condition.
Possible Outcomes : TTTT, TTTH, TTHH, THHH, THTT, THTH, THHT, TTHT.
therefore at least 1 head would be 7/8 yes.

your way involves the complimentary so it still works.

Quick question:
If stem says "Red cars without wheels have turbos"
Question says "At least some red cars have turbos". Is this YES or NO?
do we assume that there are red cars without wheels???!

 

[2xq]

Quick question:
If stem says "Red cars without wheels have turbos"
Question says "At least some red cars have turbos". Is this YES or NO?
do we assume that there are red cars without wheels???!

Condition: "Red cars without wheels have turbos."
Stem: "At least some red cars have turbos."

Personally I would say YES. The condition is alluding to the fact that there are red cars with wheels and red cars without wheels. Those with wheels may/may not have turbos. Those without wheels WILL have turbos. Thus the conclusion can be made that "At least some red cars have turbos".

 

[AJ]

Hi guys, here is a an example of the not all, some, and all predicament. Would I be correct in saying that as per the Pearson Vue definitions that I am correct for statement 1/5 in saying that some does not include all - meaning it is in fact "no". Further, 3/5 is no due to the same reason (I got that wrong). 5/5 - would this not be Yes? some boats can float can also tilt, therefore, if the canoe is a boat it, it should be able to tilt? An explantation would be great!

 

[nb]

View attachment 3680Hi guys, here is a an example of the not all, some, and all predicament. Would I be correct in saying that as per the Pearson Vue definitions that I am correct for statement 1/5 in saying that some does not include all - meaning it is in fact "no". Further, 3/5 is no due to the same reason (I got that wrong). 5/5 - would this not be Yes? some boats can float can also tilt, therefore, if the canoe is a boat it, it should be able to tilt? An explantation would be great!

I agree with 1/5 and it should be No. You are wrong for 5/5. Even though a canoe might be a type of boat, it might not be one of the one's which can also tilt...
4/5 should be Yes. You are not wrong. Not all implies SOME as said by Pearson VUE, so canoes can indeed float and rotate!

 

[ucatboy]

View attachment 3680Hi guys, here is a an example of the not all, some, and all predicament. Would I be correct in saying that as per the Pearson Vue definitions that I am correct for statement 1/5 in saying that some does not include all - meaning it is in fact "no". Further, 3/5 is no due to the same reason (I got that wrong). 5/5 - would this not be Yes? some boats can float can also tilt, therefore, if the canoe is a boat it, it should be able to tilt? An explantation would be great!

I disagree with 5/5 being yes, because it states that only SOME boats that can float can also tilt. Even if every canoe in the world floats (as the question says), they may not be the type of boat that can also tilt. The two characteristics can be mutually exclusive.

 

[N182]

View attachment 3680Hi guys, here is a an example of the not all, some, and all predicament. Would I be correct in saying that as per the Pearson Vue definitions that I am correct for statement 1/5 in saying that some does not include all - meaning it is in fact "no". Further, 3/5 is no due to the same reason (I got that wrong). 5/5 - would this not be Yes? some boats can float can also tilt, therefore, if the canoe is a boat it, it should be able to tilt? An explantation would be great!

Like nb said, I think it is a good idea to stick with official resources for DM.

 

[2xq]

probably being extremely dumb atm but help a g out here

 

[N182]

probably being extremely dumb atm but help a g out here View attachment 3685

There are only two ways for Billy to score 2 or more points,
1. He practices a lot, we can eliminate this immediately as the start of the stem says he doesn't practice.
2. Andreas scores 5 or more points
We can eliminate this as Andreas gets ill, meaning he scored less than 5 points.
So since both of the conditions aren't satisfied we can conclude Billy cannot score 2 or more points so he scores less than 2 points

 

[2xq]

There are only two ways for Billy to score 2 or more points,
1. He practices a lot, we can eliminate this immediately as the start of the stem says he doesn't practice.
2. Andreas scores 5 or more points
We can eliminate this as Andreas gets ill, meaning he scored less than 5 points.
So since both of the conditions aren't satisfied we can conclude Billy cannot score 2 or more points so he scores less than 2 points

idk about u but the word "can" is flipping my brain out...

 

[N182]

idk about u but the word "can" is flipping my brain out...

Can implies that if a condition is fulfilled a outcome may be acheived. Notice how I said may (so not confirmed). But since it also says 'correctly knows,' we can conclude that if a condition is fullfilled the outcome is definitely acheived. Furthermore the phrasing 'provided he...' implies this is the only way for the outcome to be achieved.

 

[sunnyrain]

.

 

[nb]

Hey everyone.
For the first statement, I get that the stem said 'sometimes' fulfilled by tasks, and not 'always'. However, isn't their answer a bit of a stretch? Because always includes some times where they feel fulfilled by the tasks.View attachment 3692
And for the second statement, since it says 'those you are scientific do not always succeed', I drew this diagram and from that, it shows that there are those who are not scientific (outside the scientific circle), that do not always succeed, meaning that there should be some successful people that are not scientific, which is why I picked yes. OR would the venn diagram not work in this sense, that is, are they only used for 'All A are B' statements?
Sorry for the formatting, but help would be greatly appreciated!
View attachment 3690
View attachment 3691

I agree with their answer for 1. For 2 I also agree. It is possible that there may be ALL non-scientific people do not succeed. You cannot ASSUME that there will be some non-scientific people that do succeed. Furthermore, your venn diagram is a assumption that scientific circle doesn't take up the whole space. It could be possible that the only people who do not succeed are those who are scientific. Therefore, saying "some" in statement 2 is once again wrong as it could be "all".

 

[Kevkevkev]

In a syllogism question, when it says "not all A is B", is that the same as some? Thanks in advance

 

[2xq]

In a syllogism question, when it says "not all A is B", is that the same as some? Thanks in advance

from my understanding "Not all A is B" CANNOT include none of A being B. (Cheers nb for the correction)

 

[Kevkevkev]

from my understanding "Not all A is B" can still include none of A being B. personally i would say no

Correct me if im wrong tho

So it can be none or some right?