I have a hard time understanding this simple question!!
From a deck of 52 cards. Two cards are drawn randomly, one at a time without replacement. What is the probability of the second card being red after we know that the first card is not a heart ??
The probability of the second card being red after we know that the first card is not a heart ?
probability
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Best Answer
$$\mathbb{P}[\text{Second card is Red}|\text{ First card is not Heart}]=$$
$$=\frac{\mathbb{P}[\text{Second card is Red}\cap\text{ First card is not Heart}]}{\mathbb{P}[\text{ First card is not Heart}]}=$$
$$=\frac{\frac{13}{52}\times \frac{25}{51}+\frac{26}{52}\times \frac{26}{51}}{\frac{39}{52}}\approx 0.5033$$