LTI Probability Quiz – 1

Answer: Option 4
Explanation:
Total balls = 23+12+15 = 50
Non red balls = 12+15 = 27
Required Probability = 27/50

Solution: Option 2
Explanation:
P(A ∪ B) = P(A) + P(B) - P(A∩B)
=> P(A ∪ B) = 0.37 + 0.32 - 0.11 = 0.58

Answer: Option C
Explanation:
The total number of students = 18
When 1 name was selected from 18 names, the probability that he was of section B
=> 6/3=1/3
But from the question, there are 6 students from the section B and the age of all 6 are different therefore, the probability of selecting one i.e. youngest student from 6 students will be 1/6

Solution
Probability of a defective item = 0.30
Probability of a Non - defective item = 1 - 0.30 = 0.70
probability of Demandable item which Non-defective items also = 0.70 x 0.50 = 0.35

Solution:Option C
Explanation:
Fruits can be drawn in two format
AOAO and OAOA
Apple drawn 1st P= 8/14*6/13*7/12*5/11
Orange drawn 1st P=6/14*8/13*5/12*7/11
Adding both we get
2[8*7*6*5/14*13*12*11]=2*(10/143)
=20/143

Solution: Option A
Explanation:
Required probability=1 – no one got selected – 1 got selected
No one got selected =(1-0.4)*(1-0.5)*(1-0.6)*(1-0.8)= 0.024
1got selected=0.4*((1-0.5)*(1-0.6)*(1-0.8))+0.5*((1-0.4)*(1-0.6)*(1-0.8))+0.6*((1-04)*(1-0.5)*(1-0.8))+0.8*((1-0.4)*(1-0.5)*(1-0.6))
= 0.016 + 0.024 + 0.036 + 0.096 = 0.17
So, Required probability = 1 – 0.024 – 0.17
= 0.806

Solution Option 2
Explanation:
The probability of telling truth by Raj = 0.26
The probability of telling lie by Raj = 1 -0.26 = 0.74
The probability of telling truth by Aman = 0.20
The probability of telling lie by Raj = 1 - 0.20 = 0.80

They will contradict each other when Raj speaks the truth and Aman speak a lie and vice versa
Required probability = 0.26 x 0.80 + 0.74 x 0.20 = 0.356

Solution: Option A
Explanation:
All Events are Mutually Exclusive.
Only one wins Race means Either Tesla car or Bugatti car.
Probability that only one of them win Race = 1/10+4/10
=5/10
=1/2

Solution
Two digit numbers that is 10 to 99 = 90
Required probability = 90/1000
=0.09