Thread: Probability 1

The word APE are written on the three cards, with one letter on each card. The three card are then shuffled and dealt face up in a line to form " word". Q1. List the possible equally likely "words" that could be so formed

Q2. List the probability that the "word" so formed:
(a) is the APE
(b) is not the word PEA
(c) starts with an A
(d) does not start with E
(e) has A and E as immediate neighbours in any order

thank u for your time

The word APE can only be arranged in 6 ways, so that kind of boils it down.

Q1. List the possible equally likely "words" that could be so formed
ans: 3! = 6 i.e APE , AEP, PAE, PEA, EAP, EPA

Q2. List the probability that the "word" so formed:
(a) is the APE
P (APE) = 1/6

(b) is not the word PEA
P( not PEA) = 5/6

(c) starts with an A
P( start with A) = 2/6 = 1/3

(d) does not start with E
P( not start with E) = 4/6 = 2/3

(e) has A and E as immediate neighbours in any order
???--stuck--what it mean by 'immediate neighbours in any order'

so hope some one can reconfirm my answers on Q2 (a) to (d) and help me on guestion (e)

Tq again

(a) to (d) all look good to me. As for (e) it is basically asking how many words have P as the middle letter, which I am sure you can figure out

Originally Posted by mattty

(a) to (d) all look good to me. As for (e) it is basically asking how many words have P as the middle letter, which I am sure you can figure out

for your info the ans for Q2e is is 2/3. i also blur according to the books ans.so i think the ans is 1/3. Do u agree??

and for
2(e) has A and E as immediate neighbours in any order

P ( A and E as immediate neighbours) = 2/6 = 1/3

I am fairly sure that the answer for 2(e) is 1/3, yes. however, if your book says the answer is 2/3, then a second opinion wouldn't go astray in here

The solution to 2e is 2/3. A and E must be next to one another. That can be AE or EA. Count up the cases like this out of the 6. There are 4.

4/6=2/3.

i think i'll stick to asking questions
i read 2(e) as if it was asking for times when one of the letters had an a and e as immediate neighbours. (ape and epa 2/6 =1/3)

mattty & galactus...

i am veery sorry .. it my mistake on what i'm writing here on 2e ans..

for 2(c) the ans is 2/3 (our ans 1/3)
2(e) the ans is 1/3 (our ans 1/3)

i'm verry sorry on that...

so we have the correct ans for 2(e) but not for 2(c).. but i think our ans on 2(c) is correct i.e 2/3...

sorry for inconvenience

any one agree the correct i.e 2c is 2/3...