A level Probability Quiz 1

15 Questions

Quiz Description

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Probability is basically all about finding how likely a particular event is going to occur and we see this all around us in lotter, betting houses, weather forecasts etc. The probability scale of an event is from 0, which is an impossible event, to 1,which is a certain event.

In calculating the probability of an event, we need to know the number of times that event occurs and also the total number of events involved (also known as the sample space). Independent events are events whereby the outcome of one event does not in any way affect the outcome of the other events while on the other hand, mutually exclusive events are events which can not happen at the same time.

You can now go ahead and test your knowledge with our quizzes, Good luck. 

1:

Find the probability of throwing at most 2 sixes in 6 throws of a single die.


Correct
  • 1:
    (35/18)(5/6)^3
  • 2:
    (35/18)(5/6)^4
  • 3:
    (18/29)(2/3)^4
  • 4:
    (18/29)(2/3)^3
2:

A die is thrown again and again until three sixes are obtained. Find the probability of obtaining third six in the sixth throw of the die.


Correct
  • 1:
    625 / 23329
  • 2:
    621 / 25329
  • 3:
    625 / 23328
  • 4:
    620 / 23328
3:

Eight coins are thrown simultaneously. Find the probability of getting atleast 6 heads.


Correct
  • 1:
    31 / 128
  • 2:
    37 / 256
  • 3:
    37 / 128
  • 4:
    31 / 256
4:

A bag contains 6 red, 4 blue and 2 yellow balls. Three balls are drawn one by one with replacement. Find the probability of getting exactly one red ball.


Correct
  • 1:
    1/4
  • 2:
    3/8
  • 3:
    3/4
  • 4:
    1/2
5:

Eight coins are thrown simultaneously. What is the probability of getting atleast 3 heads?


Correct
  • 1:
    37 / 246
  • 2:
    21 / 256
  • 3:
    219 / 256
  • 4:
    19 / 246
6:

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replecement the probability of getting exactly one red ball is


Correct
  • 1:
    45 / 196
  • 2:
    135 / 392
  • 3:
    15 / 56
  • 4:
    15 / 29
7:

A die is thrown and card is selected a random from a deck of 52 playing cards. The probability of gettingan even number on the die and a spade card is


Correct
  • 1:
    1/2
  • 2:
    1/4
  • 3:
    1/8
  • 4:
    3/4
8:

A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is


Correct
  • 1:
    3 / 28
  • 2:
    2 / 21
  • 3:
    1 / 28
  • 4:
    167 / 168
9:

A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, the probability that both are deal is


Correct
  • 1:
    33 / 56
  • 2:
    9 / 64
  • 3:
    1 / 14
  • 4:
    3 / 28
10:

Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is


Correct
  • 1:
    1/ 18
  • 2:
    5/ 18
  • 3:
    1/5
  • 4:
    2/5
11:

If A and B are 2 events such that P(A) > 0 and P (b) ≠ 1, then P(A¯/B¯)=


Correct
  • 1:
    1 – P(A|B)
  • 2:
    1− P(A/B¯)
  • 3:
    (1−P(A∪B)) / P(B)
  • 4:
    1(A¯) / P(B)
12:

If two events A and B area such that P(A¯) =0.3, P(B) = 0.4 and P(B|A∪B¯)=


Correct
  • 1:
    1/2
  • 2:
    1/3
  • 3:
    2/5
  • 4:
    1/4
13:

If E and F are events such that 0 < P(F) < 1, then


Correct
  • 1:
    P(E|F) + P(E¯|F) = 1
  • 2:
    P(E|F) + P(E|F¯) = 1
  • 3:
    P(E¯|F) + P(E|F¯) = 1
  • 4:
    P(E|F¯) + P(E¯|F¯) = 0
14:

P(E ∩ F) is equal to


Correct
  • 1:
    P(E) . P(F|E)
  • 2:
    P(F) . P(E|F)
  • 3:
    Both (a) and (b)
  • 4:
    None of these
15:

If A and B are two independent events, then the probability of occurrence of at least of A and B is given by


Correct
  • 1:
    1 – P(A) P(b)
  • 2:
    1 – P(A) P(B’)
  • 3:
    1 – P(A’) P(B’)
  • 4:
    1 – P(A’) P(b)

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A level Probability Quiz 1
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