lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards…

lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1 - 13. what is the complement of her not picking a 4 from the deck of cards? the answer should be a fraction. remember to simplify. (1 point)

lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1 - 13. what is the complement of her not picking a 4 from the deck of cards? the answer should be a fraction. remember to simplify. (1 point)

Answer

Explanation:

Step1: Identify the event

The event is not picking a 4. There are 4 cards numbered 4 in a 52 - card deck. So the number of non - 4 cards is $52 - 4=48$.

Step2: Find the complement

The complement of not picking a 4 is picking a 4. The number of favorable outcomes (picking a 4) is 4, and the total number of outcomes is 52.

Step3: Calculate the fraction

The probability of picking a 4 is $\frac{4}{52}$. Simplify the fraction by dividing both the numerator and denominator by 4: $\frac{4\div4}{52\div4}=\frac{1}{13}$.

Answer:

$\frac{1}{13}$