TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 13 Probability

Question 1

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If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?

Solution

Leap year contains 366 days.
∴ there are 52 complete weeks and two days other. The following are the possibilities for these two ‘over’ days:
(i) Sunday and Monday (ii) Monday and Tuesday (iii) Tuesday and Wednesday
(iv) Wednesday and Thursday (v) Thursday and Friday (vi) Friday and Saturday (vii) Saturday and Sunday.
Now there will be 53 Tuesdays in a leap year when one of the two over days is a Tuesday.
∴ out of 7 possibilities, two are favourable to this event.
$therefore space space space required space probability space equals space 2 over 7.$

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TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 13 Probability

If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?

If each element of a second order determinant is either zero or one, what is the probability that the value of determinant is positive? (Assume that the individual enteries of the determinant are chosen independently, each value being assumed with probability $1 half right parenthesis.$

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

0

$1 third$
$1 over 12$
$1 over 36$

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P(E | F) and P(F | E).

Compute P(A|B), if P(B) = 0.5 and P(A ∩ B) = 0.32.

A and B are two events such that P(A) ≠ 0. Find P (B|A), if
(i) A is a subset of B (ii) A ∩ B = ϕ

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TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 13 Probability

If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?

If each element of a second order determinant is either zero or one, what is the probability that the value of determinant is positive? (Assume that the individual enteries of the determinant are chosen independently, each value being assumed with probability

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is 0

If .

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P(E | F) and P(F | E).

Compute P(A|B), if P(B) = 0.5 and P(A ∩ B) = 0.32.

Evaluate

A and B are two events such that P(A) ≠ 0. Find P (B|A), if(i) A is a subset of B (ii) A ∩ B = ϕ

If .

If .

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If each element of a second order determinant is either zero or one, what is the probability that the value of determinant is positive? (Assume that the individual enteries of the determinant are chosen independently, each value being assumed with probability $1 half right parenthesis.$

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

0

$1 third$
$1 over 12$
$1 over 36$

A and B are two events such that P(A) ≠ 0. Find P (B|A), if
(i) A is a subset of B (ii) A ∩ B = ϕ