1. what is the probability of drawing each of the following from a standard deck of cards?\na) a red…

Explanation:

Step1: Recall deck - card details

A standard deck has 52 cards.

Step2: Calculate probability of red card

There are 26 red cards (13 hearts and 13 diamonds). Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{26}{52}=\frac{1}{2}$.

Step3: Calculate probability of a club

There are 13 clubs. So $P = \frac{13}{52}=\frac{1}{4}$.

Step4: Calculate probability of a 6

There are 4 cards with the number 6 (one in each suit). So $P=\frac{4}{52}=\frac{1}{13}$.

Step5: Calculate probability of a face - card

There are 12 face - cards (4 Jacks, 4 Queens, 4 Kings). So $P=\frac{12}{52}=\frac{3}{13}$.

Step6: Calculate probability of a black ace

There are 2 black aces (ace of spades and ace of clubs). So $P=\frac{2}{52}=\frac{1}{26}$.

Answer:

a) $\frac{1}{2}$ b) $\frac{1}{4}$ c) $\frac{1}{13}$ d) $\frac{3}{13}$ e) $\frac{1}{26}$