A level Probability Quiz 2

15 Questions

Quiz Description

Hi there and you are welcome to this online revision platform, gcequiz.com. Here, we help students by providing them with numerous quizzes that they can use to better prepare for their end of year exams. A level Probability quiz 2 is just one of the many A level Mathematics quizzes that has been made available for you and here we will have a brief look on what probability is all about.

As a branch of mathematics, Probability is concerned with the numerical description which deals with how likely an event is to occur. It is important to note that the probability of an event is a number which is always between 0 and 1 with 0 indicating that the event is totally impossible and a probability of 1 indicating that the event is certain.

This topic sounds promising, right? If you are willing to be good in mathematics, all you have to do is go through all the mathematics quizzes available here. 

Good luck . 

1:

You are given that A and B are two events such that P(b) = 35, P(A|B) =45, then P(A) equals


Correct
  • 1:
    3/ 10
  • 2:
    1/5
  • 3:
    1/2
  • 4:
    3/5
2:

A and B are events such that P(A) = 0.4, P(b) = 0.3 and P(A ∪ B) = 0.5. Then P(B’ ∩ A) equals


Correct
  • 1:
    2/3
  • 2:
    1/2
  • 3:
    3/ 10
  • 4:
    1/5
3:

If A and B are two events and A ≠ Φ, B ≠ Φ, then


Correct
  • 1:
    P(A|B) = P(A) . P(b)
  • 2:
    P(A|B) = P(A∩B) / P(B)
  • 3:
    P(A|B) . P(B|A) = 1
  • 4:
    P(A|B) = P(A)|P(b)
4:

If P(A) = 0.4, P(b) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equal to


Correct
  • 1:
    0.24
  • 2:
    0.3
  • 3:
    0.48
  • 4:
    0.96
5:

If A and B are two events sue that P(A) = 12, P(b) = 13, P(A|B) = 14 then (A’ ∩ B’) equals


Correct
  • 1:
    1/ 12
  • 2:
    3/4
  • 3:
    1/4
  • 4:
    3/ 16
6:

If P(A) = 25, P(B) = 310 and P(A ∩ B) = 15, then P(A’|B’) . (P(B’|A’) is equal to


Correct
  • 1:
    5/6
  • 2:
    5/7
  • 3:
    25 / 42
  • 4:
    1
7:

If P(A) = 3/10, P(b) = 2/5 and P(A ∪ B) = 3/5, then P(B|A) + P(A|B) equals


Correct
  • 1:
    1/4
  • 2:
    1/3
  • 3:
    5/12
  • 4:
    7/12
8:

If P(A ∩ B) = 7/10 and P(b) = 17/20, P(A|B) equals


Correct
  • 1:
    14 / 17
  • 2:
    17 / 20
  • 3:
    7/8
  • 4:
    1/8
9:

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both clubs. Find the probability of the lost card being a club.


Correct
  • 1:
    11 / 50
  • 2:
    17 / 50
  • 3:
    13 / 50
  • 4:
    19 / 50
10:

A bag contains 3 green and 7 white balls. Two balls are drawn one by one at random without replacement. If the second ball drawn is green, what is the probability that the first ball was drawn in also green?


Correct
  • 1:
    5/9
  • 2:
    4/9
  • 3:
    2/9
  • 4:
    8/9
11:

A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that all balls are white?


Correct
  • 1:
    2/5
  • 2:
    3/5
  • 3:
    4/5
  • 4:
    1/5
12:

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.


Correct
  • 1:
    5/8
  • 2:
    3/8
  • 3:
    7/8
  • 4:
    1/8
13:

Two cards from an ordinary deck of 52 cards are missing. What is the probability that a random card drawn from this deck is a spade?


Correct
  • 1:
    3/4
  • 2:
    2/3
  • 3:
    1/2
  • 4:
    1/4
14:

Given that, the events A and B are such that P(A) = 1/2, P(A ∪ B) = 3/5 and P(b) = P. Then probabilities of B if A and B are mutually exclusive and independent respectively are


Correct
  • 1:
    1/2, 1/3
  • 2:
    1/10, 1/5
  • 3:
    1/5, 1/3
  • 4:
    2/3, 1/3
15:

Two cards are drawn successively from a well shuffled pack of 52 cards. Find the probability that one is a red card the other is a queen.


Correct
  • 1:
    103 / 1326
  • 2:
    101 / 1326
  • 3:
    101 / 1426
  • 4:
    103 / 1426

Feature Image

A level Probability Quiz 2
gcequiz
Student
Instructor
Account
Contact us

Efoulan, Yaounde
Cameroon, Email:info@gcequiz.com