Question

Two friends were born in 2020. Find the probability that the date of birth of both will be same.

• A. \(\dfrac{1}{365}\)
• B. \(\dfrac{1}{366}\)
• C. \(\dfrac{2}{365}\)
• D. \(\dfrac{2}{366}\)

Hint:

In a leap year, total possible birthdays are 366, not 365. Always check the year type before solving.

Answer 1

The Correct Option is B

Step 1: Total possible outcomes.
Since 2020 is a leap year, there are 366 possible birthdays for each friend.
Step 2: Favorable outcomes.
The two friends have the same birthday if both are born on the same date out of 366 days. \[ \text{Favorable outcomes} = 1 \]
Step 3: Probability.
\[ \text{Probability} = \frac{1}{366} \]
Step 4: Conclusion.
Hence, the probability that both friends have the same birthday is \(\frac{1}{366}\).