# Probability 10

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

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

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

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

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

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

how ..

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

10c1*10c1/20c2

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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

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