Probability 10

8 replies [Last post]
Incognito
Incognito's picture
Groups: None

Q1. The probability that an MBA aspirant will join IIM is 2/5 and that he will join XLRI is 1/3. Find the probability that he will join IIM or XLRI?
a. 4/15
b. 7/15
c. 11/15
d. 8/15

Q2. Suppose you have a piece of wire 12 inches long, and that you cut it at two points chosen at random so that you now have 3 pieces of wire of varied lengths. What is the probability that you can make a triangle from the 3 pieces of wire without bending any of them?

Q3. Out of 20 consecutive positive integers, two are chosen at random. The probability that their sum is odd is
a. 9/10
b. 10/19
c. 15/16
d. 40/63

Q4. A box contains 25 tickets, numbered 1, 2, 3. . . . . . .25. A ticket is drawn and then another ticket is drawn without replacement. Find the probability that both tickets will show odd numbers?
a. 37/50
b. 13/50
c. 13/25
d. None of these

Q5. A person is asked to randomly pick two balls from a bag which has 15 yellow and 5 red balls. The probability that the person picks two balls of the same color is
a. 33/38
b. 23/38
c. 38/43
d. 15/38

Q6. Four numbers are multiplied together. Then the probability that the product will be divisible by 5 or 10 is :
a. 169/625
b. 359/625
c. 169/1626
d. None of these

Q7. 5 army men are standing in a row left to right. Chetan and Chetak are charioteers. Shailendra and Surendra are the soldiers while Dinesh is a doctor. Dinesh always stands in the middle. The two soldiers and two charioteers do not stand next to each other respectively. If Shailendra is not standing immediately next to the doctor, then out of all the arrangements possible, what is the probability that a charioteer stands next to the doctor?
a. 1/4
b. 1/2
c. 1/3
d. 1


jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q1. The probability that an

Q1. The probability that an MBA aspirant will join IIM is 2/5 and that he will join XLRI is 1/3. Find the probability that he will join IIM or XLRI?
a. 4/15
b. 7/15
c. 11/15
d. 8/15

ans is 2/5*2/3 + 3/5*1/3=7/15

Little Star

__________________

n/a

__________________

n/a

jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q4. A box contains 25

Q4. A box contains 25 tickets, numbered 1, 2, 3. . . . . . .25. A ticket is drawn and then another ticket is drawn without replacement. Find the probability that both tickets will show odd numbers?
a. 37/50
b. 13/50
c. 13/25
d. None of these

ans is 13/50

Little Star

__________________

n/a

__________________

n/a

jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q5. A person is asked to

Q5. A person is asked to randomly pick two balls from a bag which has 15 yellow and 5 red balls. The probability that the person picks two balls of the same color is
a. 33/38
b. 23/38
c. 38/43
d. 15/38

ans is 23/38

Little Star

__________________

n/a

__________________

n/a

jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q3. Out of 20 consecutive

Q3. Out of 20 consecutive positive integers, two are chosen at random. The probability that their sum is odd is
a. 9/10
b. 10/19
c. 15/16
d. 40/63

i am getting 5/19

Little Star

__________________

n/a

__________________

n/a

jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q7. 5 army men are standing

Q7. 5 army men are standing in a row left to right. Chetan and Chetak are charioteers. Shailendra and Surendra are the soldiers while Dinesh is a doctor. Dinesh always stands in the middle. The two soldiers and two charioteers do not stand next to each other respectively. If Shailendra is not standing immediately next to the doctor, then out of all the arrangements possible, what is the probability that a charioteer stands next to the doctor?
a. 1/4
b. 1/2
c. 1/3
d. 1

if we give impotance for both charioteer then probability =1/2

but if only one then probability=1

Little Star

__________________

n/a

__________________

n/a

jigar_er_civil's picture
User offline. Last seen 2 years 52 weeks ago. Offline
Joined: 2007-09-03
Points: 830
Groups: None
Q2. Suppose you have a piece

Q2. Suppose you have a piece of wire 12 inches long, and that you cut it at two points chosen at random so that you now have 3 pieces of wire of varied lengths. What is the probability that you can make a triangle from the 3 pieces of wire without bending any of them?

out of all 12 cases in only 3 case triangle possible so

probability=1/4

Little Star

__________________

n/a

__________________

n/a

Incognito
Incognito's picture
Groups: None
 how ..

 how ..


roshanivahora's picture
User offline. Last seen 22 weeks 1 day ago. Offline
Joined: 2011-12-19
Points: 0
Groups: None
As

As ,log(ab)=log(a)+log(b)
same as,1/2[log(x)]+1/2[log(x)]=log x
Therefore, ans is log(x)

__________________

n/a

__________________

n/a

Post new comment

Sponsered Links

All Rights Reserved. Copyright 2006-10 CAT4MBA.com.