Probability Test

Result

Probability Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

The probability of having 53 Mondays in a year is

A
2/7

B
3/7

C
1/7

D
None of these

Solution

Normal year has 365 days.
365/7 = 52, remainder = 1
⇒ 52 weeks are there ⇒ 52 Sundays, 1 day extra;
For 53 Sundays this day should be a Sunday. So, P (53 Sundays) = 1/7.
Question 2
1 / -0

Four letters are written to different persons and addresses on the envelopes are also written. Without looking at the addresses, the probability that letters go into right envelopes is

A
1/27

B
1/24

C
1/9

D
1/8

Solution

There are four letters and four directed envelopes.

Therefore, they can be put into the envelopes in ⁴C₄ = 4 ! = 624 ways, out of which only one is correct.

Thus, the required probability = 1/24
Question 3
1 / -0

Ram and Ravana throw a dice. The chance that both Ram and Ravana throw the same number is

A
1/6

B
1/36

C
1/2

D
None of these

Solution

Required probability = 6/36 = 1/6.