Quiz Discussion

If ,​, are probabilities of three mutually exclusive events, then

Course Name: Quantitative Aptitude

  • 1]

  • 2]

  • 3]

  • 4]

    None Of These

Solution

Answer :1/2

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# Quiz
1
Discuss

A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?

  • 1]

    720

  • 2]

    760

  • 3]

    780

  • 4]

    680

Solution
2
Discuss

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

  • 1]

    32

  • 2]

    48

  • 3]

    64

  • 4]

    96

Solution
3
Discuss

A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?

  • 1]

    3/16

  • 2]

    1/4

  • 3]

    7/24

  • 4]

    5/16

Solution
4
Discuss

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

  • 1]

    42

  • 2]

    294

  • 3]

    315

  • 4]

    258

Solution
5
Discuss

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

  • 1]

    32

  • 2]

    48

  • 3]

    36

  • 4]

    60

Solution
6
Discuss

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

  • 1]

    17280

  • 2]

    4320

  • 3]

    720

  • 4]

    80

Solution
7
Discuss

There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.

  • 1]

    2! x 19!

  • 2]

    18!

  • 3]

    18! x 2!

  • 4]

    19!

Solution
8
Discuss

A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?

  • 1]

    3/8

  • 2]

    5/8

  • 3]

    3/4

  • 4]

    1/8

Solution

Person will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail)

H + H + T = 12

8 + 8 + (-4) = 12

Total outcome of 2 head and 1 tail = 23 = 8

i.e (T, H, TH, HT, HH, HHT, HTH, THH)

Total event with 2H and 1 T is 3

therfore probability = 3/8

9
Discuss

If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals

  • 1]

    4/15

  • 2]

    8/45

  • 3]

    1/3

  • 4]

    2/9

Solution
10
Discuss

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

  • 1]

    1/10

  • 2]

    2/5

  • 3]

    2/7

  • 4]

    5/7

Solution
# Quiz