At a town fair, for one of the game booths contestants pick a single card from a standard deck and payouts are based on the card chosen. Express your answers as reduced fractions.
Find the probability that your card is
Part 1 of 8
(a) The 3 of clubs.
The probability that the first card picked up was a 3 of clubs is $\frac{1}{52}$.
Part: 1 / 8
Part 2 of 8
(b) A black card.
The probability that the first card picked up was a black card is
Final Answer: The probability that the first card picked up was a black card is \(\boxed{\frac{1}{2}}\).
Step 1 :At a town fair, for one of the game booths contestants pick a single card from a standard deck and payouts are based on the card chosen. Express your answers as reduced fractions.
Step 2 :Find the probability that your card is
Step 3 :Part 1 of 8
Step 4 :(a) The 3 of clubs.
Step 5 :The probability that the first card picked up was a 3 of clubs is \(\frac{1}{52}\).
Step 6 :Part: 1 / 8
Step 7 :Part 2 of 8
Step 8 :(b) A black card.
Step 9 :The probability that the first card picked up was a black card is
Step 10 :There are 26 black cards in a standard deck of 52 cards. So, the probability of picking a black card is \(\frac{26}{52}\) or \(\frac{1}{2}\).
Step 11 :Final Answer: The probability that the first card picked up was a black card is \(\boxed{\frac{1}{2}}\).