Featured Posts
Math Assignment Class XII | Probability
- Get link
- Other Apps
Mathematics Assignment on Probability Class XII
Important and extra questions on probability for class XII, This assignment is strictly based on previous years CBSE question papers.
Ans: 3/5
Question 2 :
Ans : 3/4
Question 3 :
Ans : 1/9
Question 4 :
Ans: If P(A) = 5/6, then P(B) = 4/5
If P(A) = 1/5, then P(B) = 1/6
Question 5 :
Ans: 25/56
Question 6 :
Ans: 1/3
Question 7 :
Solution Hint:
E1 : Event for getting an even number on die = 1/2
E2 : Event that a spade card is selected. = 1/4
P(E1 ⋂ E2) = P(E1).P(E2) =
1/8
Question 8 :
Solution Hint
P(A) = 80/100 ⇒ P(A) = 8/10, P(A') = 2/8
P(B) = 90/100 ⇒ P(B) = 9/10 P(B') = 1/10
P(Agree) = P(Both agree or both not agree)
= P(AB or A'B')
= 74/100 = 74 %
Question 9 :
Solution Hint
P(A'⋂B) = P(B) - P(A⋂B)
= P(B) - P(A).P(B)
= P(B) [1-P(A)]
= P(B). P(A') or P(A').P(B)
Therefore A' and B are independents events.
Question 10 :
Solution Hint
P(A) = P(sum 9) = 4/36 = 1/9
P(A') = 1-1/9 = 8/9
P(B) = P(sum 7) = 6/36 = 1/6
P(B') = 1-1/6 = 5/6
P(B wins the game)
= P(A'B) + P(A'B'A'B) + P(A'B'A'B'A'B) + ............
Question 11 :
Answer: No, these events are not independent
Question 12 :
Answer: 3/7
Question 13 :
Question 14 :
Three persons A, B and C apply for a job of manager in a private company. Chances of their selection are in the ratio 1 : 2 : 4. The probability that A, B and C can introduce changes to increase the profits of companies are 0.8, 0.5 and 0.3 respectively. If increase in the profit does not take place, find the probability that it is due to the appointment of A.
Answer: 1/20
Solution Hint
P(E1) = 1/7, P(E2) = 2/7, P(E3) = 4/7
A = Change does not take place
P(A/E1) = 2/10, P(A/E2) = 5/10, P(A/E3) = 7/10
Required Probability = P(E1/A)
By using Baye's theorem we get P(E1/A) = 1/20
Question 15 :
Answer : By using baye's theorem we get
Required probability = P(E3 / A) = 7/10
Question 16 :
Answer : 5/17
Solution Hint
A wins if he gets a total of 7 ; {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6,1)}
P(A) = 6/36 = 1/6 ⇒ P(A') = 1 - 1/6 = 5/6
B wins if he gets a total of 10 : {(4, 6), (5, 5), (6, 4)}
P(B) = 3/36 = 1/12 ⇒ P(B') = 1-1/12 = 11/12
P(B wins) = P(A')P(B) + P(A')P(B')P(A')P(B) + ......... ∝
P(B wins) = (5/6)(1/12) + (5/6)(11/12)(5/6)(1/12) + ........ ∝
It is an infinite sequence in G.P.
So by using the formula we get
P(B wins) = 5/17
- Get link
- Other Apps
Comments
Post a Comment