Zoho Probability Quiz 1

Sample space = {H,T}

probability of getting head = [Latex]\frac{1}{2}[/Latex]

probability of getting yellow balls = [Latex]\frac{4}{9}[/Latex]

No of black cards = 26

probability of getting black cards = [Latex]\frac{26}{52} = \frac{1}{2}[/Latex]

Sample Space = {1,2,3,4,5,6}

odd numbers = {1 ,3 ,5}

Probability of getting odd numbers = [Latex]\frac{3}{6} = \frac{1}{2}[/Latex]

P(A ∪ B) = P(A) + P(B) - P(A∩B)

=> P(A ∪ B) = 0.54 +0.36 -0.22 = 0.68

The value of Probability mainly lies between 0 and 1.

Solution

Multiple of 5 between 1 and 30 which is 2 - digit number = {5, 10,15,20,25, 30} Sample space = 24

Required Probability = [Latex]\frac{6}{24} =\frac{1}{4}[/Latex]

 

Either an orange or green paper = 3 + 5 = 8

probability of having either an orange or a green paper = [Latex]\frac{8}{5+3+2} = \frac{8}{10}[/Latex]

Number of girls = 30

Probability that the one called is a girl = \frac{30}{50+30} = \frac{30}{80} =\frac{3}{8}

Out of 6 occurrences, there is only one possibility of getting ‘5’ on the dice

So the required probability will be  [Latex]\frac{1}{6}[/Latex]