Question:
The probability that a non leap year will have 53 Thursdays is
The probability that a non leap year will have 53 Thursdays is
Updated On: Apr 5, 2025
- \(\frac{1}{221}\)
- \(\frac{1}{7}\)
- \(\frac{6}{7}\)
- \(\frac{9}{13}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Correct answer: \(\frac{1}{7}\)
Explanation:
In a non-leap year, there are 365 days. Dividing 365 by 7 gives: \[ 365 \div 7 = 52 \text{ weeks and } 1 \text{ extra day} \] Therefore, there will be exactly 52 occurrences of each day of the week, plus one additional day. The extra day could be any of the seven days of the week, so there is a \( \frac{1}{7} \) chance that the extra day will be a Thursday. If the extra day is a Thursday, there will be 53 Thursdays in that year. Hence, the probability that a non-leap year will have 53 Thursdays is \( \frac{1}{7} \).
Therefore, the probability is \(\frac{1}{7}\).
Was this answer helpful?
0
0
Top Questions on Probability
- Two different dice are tossed together. Find the probability that the product of the number on the top of the dice is 6.
- Two dice are thrown. Defined are the following two events A and B: \[ A = \{(x, y) : x + y = 9\}, \quad B = \{(x, y) : x \neq 3\}, \] where \( (x, y) \) denote a point in the sample space. Check if events \( A \) and \( B \) are independent or mutually exclusive.
- In the following probability distribution, the value of p is:
- A die with numbers 1 to 6 is biased such that \( P(2) = \frac{3}{10} \) and the probability of other numbers is equal. Find the mean of the number of times number 2 appears on the die, if the die is thrown twice.
- The probability distribution of a random variable \( X \) is given by:
View More Questions
Questions Asked in AP POLYCET exam
- Area of a sector of a circle with radius 4 cm and angle 30° is (use \( \pi = 3.14 \)):
- Two cars are seen from the top of a tower of height 75 m with angles of depression \(30^\circ\) and \(45^\circ\). If the cars are on opposite sides of the tower along the same line, the distance between them is:
- AP POLYCET - 2025
- Heights and Distances
- If assumed mean of a data is 47.5, \( \sum f_i d_i = 435 \) and \( \sum f_i = 30 \), then mean of that data is:
- AP POLYCET - 2025
- Arithmetic Mean
- The heat produced in a \( 4 \, \Omega \) resistor when an electric current of \( 5 \, A \) flows in it for \( 2 \) seconds is
- AP POLYCET - 2025
- Resistance
- Evaluate \( \dfrac{2 \tan 30^\circ}{1 + \tan^2 30^\circ} \)
- AP POLYCET - 2025
- Trigonometric Ratios
View More Questions