📘 Quiz

Test your skills & challenge yourself 🚀

Question 1 / 1
1:00
1
Two cards are drawn simultaneously from a standard 52-card deck. What is the probability that one card is a spade and the other is a heart?
0:00
Solution: Step 1: Calculate total combinations of drawing 2 cards from 52: $^{52}C_2 = \frac{52!}{2!(52-2)!} = \frac{52 \times 51}{2} = 1326$ Step 2: Calculate combinations for 1 spade and 1 heart: $^{13}C_1 \times ^{13}C_1 = 13 \times 13 = 169$ Step 3: Calculate probability: $P(E) = \frac{n(E)}{n(S)} = \frac{169}{1326} = \frac{13}{102}$ Step 4: Therefore, the probability that one card is a spade and the other is a heart is $\frac{13}{102}$.
📊 Questions Status
1