6
Q:

A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

 

A) axn2+1 B) axn2-1
C) axn-1 D) axn2

Answer:   D) axn2



Explanation:
Subject: Probability
Exam Prep: Bank Exams
Q:

What is the probability of getting 53 Mondays in a leap year?

A) 1/7 B) 3/7
C) 2/7 D) 1
 
Answer & Explanation Answer: C) 2/7

Explanation:

1 year = 365 days . A leap year has 366 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364days

366 – 364 = 2 days

In a leap year there will be 52 Sundays and 2 days will be left.

These 2 days can be:

1. Sunday, Monday

2. Monday, Tuesday

3. Tuesday, Wednesday

4. Wednesday, Thursday

5. Thursday, Friday

6. Friday, Saturday

7. Saturday, Sunday

Of these total 7 outcomes, the favourable outcomes are 2.

Hence the probability of getting 53 days = 2/7

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148 32944
Q:

Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls

A) 0.5 B) 0.75
C) 0.25 D) 0.8
 
Answer & Explanation Answer: B) 0.75

Explanation:

P(red ball) = 5/12

P(white ball) = 4/12

P(red or white ball) = 5/12 + 4/12 = 3/4 = 0.75

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1 3833
Q:

A bag contains 3 black, 4 white and 5 red balls. One ball is drawn at random. Find the probability that it is either black or red ball:

A) 2/3 B) 1/4
C) 5/12 D) 1/2
 
Answer & Explanation Answer: A) 2/3

Explanation:

P(black ball)=3/12

P(red ball)=5/12

P(black or red)=3/12+5/12=2/3

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1 6356
Q:

From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?

A) 1/2 B) 3/4
C) 1 D) 1/3
 
Answer & Explanation Answer: C) 1

Explanation:

P(red cards)=26/52

P(black cards)=26/52

P(red or black cards)=26/52+26/52=1

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1 3107
Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A) 1 B) 1/2
C) 3/4 D) 1/3
 
Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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2 3621
Q:

What is the probabiltiy of getting a mutliple of 2 or 5 when an unbiased cubic die is thrown?

A) 1/3 B) 1/2
C) 2/3 D) 1/6
 
Answer & Explanation Answer: C) 2/3

Explanation:

Total numbers in die=6

P(multiple of 2)=1/2

P(multiple of 5)=1/6

P(multiple of 2 or 5)=2/3

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1 4240
Q:

An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?

A) 1/12 B) 1/9
C) 3/4 D) 1/2
 
Answer & Explanation Answer: D) 1/2

Explanation:

Total numbers in a die=6

P(mutliple of 3) = 2/6 = 1/3

P(multiple of 4) = 1/6

P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2

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4 10161
Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7 B) 4/7
C) 1/8 D) 3/4
 
Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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96 56442