Quiz Discussion

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

Course Name: Quantitative Aptitude

  • 1]

    3/16

  • 2]

    1/4

  • 3]

    7/24

  • 4]

    5/16

Solution
No Solution Present Yet

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# Quiz
1
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

2
Discuss

In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?

  • 1]

    72

  • 2]

    96

  • 3]

    132

  • 4]

    144

  • 5]

    None of these

Solution
3
Discuss

Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done

  • 1]

    2 x 12C6 x (6!)2

  • 2]

    2 x 6! x 6!

  • 3]

    2 x 12C6 x 6!

  • 4]

    None of these

Solution
4
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
5
Discuss

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

  • 1]

  • 2]

  • 3]

  • 4]

    None Of These

Solution

Answer :1/2

6
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together

  • 1]

    10080

  • 2]

    4989600

  • 3]

    120960

  • 4]

    None of these

Solution
7
Discuss

It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?

  • 1]

    2880

  • 2]

    2148

  • 3]

    3280

  • 4]

    3680

Solution
8
Discuss

Three unbiased coins are tossed. What is the probability of getting at most two heads ?

  • 1]

    3/4

  • 2]

    1/4

  • 3]

    3/8

  • 4]

    7/8

Solution
9
Discuss

The value of  75P2

  • 1]

    5450

  • 2]

    5555

  • 3]

    5550

  • 4]

    5656

Solution
10
Discuss

A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.

  • 1]

    1890

  • 2]

    1920

  • 3]

    1950

  • 4]

    1990

Solution
# Quiz