HirePro Probability Quiz-1

Answer : 11/50

Explanation :

Total cards = 52

Drawn cards(Heart) = 2

Present total cards = total cards-drawn cards =52-2=50

Remaining Card 13-2 = 11

Probability = 11/50

Answer : 1/6

Explanation :

The total number of students = 18

When 1 name was selected from 18 names, the probability that he was of section B = 6/18 = 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

Answer : 3/5

Explanation :

Let the names of children be x, y and z. The probabilities of the three children to finish the race are 1/3, 1/5 and 1/4 respectively. It may be noted that one reaching the finishing point is independent of the other reaching. If P(x), P(y) and P(z) denote the probabilities.

The probability of at least one of them reaching the finishing point = 1 – P (none of them finishing the race)

1- (\frac{2}{3})\times (\frac{2}{5})\times (\frac{3}{4}) = \frac{3}{5}

Answer : 0.74

Explanation :

probability of not winning for the Indian team  = 1- 0.26 = 0.74

Answer : \frac{1}{6^{4}}

Explanation :

Total possible outcomes = 6\times  6\times 6\times 6\times 6\times=  6^{5}

All of them show exactly the same face

 

{1,1,1,1,1}, {2,2,2,2,2}, {3,3,3,3,3,}, {4,4,4,4,4}, {5,5,5,5,5}, {6,6,6,6,6}

Required probability = \frac{6}{6^{5}} = \frac{1}{6^{4}}

Answer : \frac{1}{2}
Explanation :
No of possible 4 letters word = 4! = 24
When T and U are together then 3! But they can change their position among themselves
So, 3! x 2! = 12
Required probability = \frac{12}{24} = \frac{1}{2}

Answer : \frac{4}{5}

Explanation :

Non defective items = 20 - 4 = 16

Probability of non defective items = \frac{16}{20} = \frac{4}{5}

Answer : \frac{1}{2}

Explanation :

The probability that the problem will not be solved =

=   (1 - \frac{2}{5}) \times (1 - \frac{1}{6})

= (\frac{3}{5} \times \frac{5}{6})

= \frac{3}{6}

= \frac{1}{2}

Answer : \frac{53}{365}

Explanation :

2014 is non-leap year so 365 days

No of wednesday = 52+1 = 53

Required Probability =  \frac{53}{365}

Answer : 1/2

Explanation:

All Events are Mutually Exclusive.

Only one wins Race means Either Tesla car or Porsche car.

Probability that only one of them win Race =  1/10+4/10 = 5/10 = 1/2