What is the probability that a leap year, selected at random will contain 53 Sundays?

A leap year has 366 days = 52 weeks + 2 days . That 2 days can be Sunday-Monday, Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday,..., Saturday-Sunday. Total outcomes = 7 (Sun-Mon, Mon-Tue, Tue-Wed, Wed-Thu, Thu-Fri, Fri-Sat, Sat-Sun) Number of favourable outcomes i.e, Sunday, n E = 2 n S = 7 Required probability, P E = n E n S = 2 7

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 9

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Figure shows a jinxed grid in which Shaktimaan has to get to point $B$ from point $A$ . He can either go right or up. The point $C$ is jinxed, upon reaching which Shaktimaan loses all his magical powers. The probability that Shaktimaan will remain a superhero is

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Important Questions on Probability

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 10

Two dices are rolled and numbers

r_{1}

and

r_{2}

are chosen. Let

1 + ω^{r_{1}} + ω^{r_{2}} = λ

(where

ω

is a complex cube root of unity). Then

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 11

Five letters are put in five identical letter boxes, the probability that no letter box is empty is greater than or equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 12

Which of the following statements are correct?

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 13

Delegates of the five of the member countries of SAARC decide to hold a round table conference. there are

2

Indians,

2

Bangladeshis,

2

Pakistanis,

2

Srilankans and

2

Nepalis. The probability that people of same nationality sit together is

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 14

The number

900

is resolved into two factors,

x

and

y

the probability that the factors

x

and

y

are co-prime is

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 15

A coin is tossed thrice. Let events

A, B

and

C

be first coin shows heads, exactly two heads show and tails on

2^{nd}

and

3^{rd}

tosses respectively

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 16

If a grandfather along with his two grandsons and four granddaughters are to be seated in a line for a photograph so that he is always in the middle then the probability that his two grandsons are never adjacent to each other is

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Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 17

A real number