Answer:
<u>The probability of drawing four red cards in a row (with replacement)is 0.1975</u>
Step-by-step explanation:
Assuming we have a standard card deck, we'll have this color distribution:
- Spades : Black
- Clubs : Black
- Diamonds : Red
- Hearts : Red
In consequence, if we remove all of the clubs from the deck, we will have 26 red cards out of 39 cards left.
Now, let's recall that the formula of probability is:
Probability = Number of favorable outcomes/Total number of possible outcomes
Replacing with the values we know:
- Probability of drawing a 1st red card = 26/39 = 2/3
- We return the 1st card to the deck, reshuffle and draw a new card:
- Probability of drawing a 2nd red card = 2/3
- We return the 2nd card to the deck, reshuffle and draw a new card:
- Probability of drawing a 3rd red card = 2/3
- We return the 3rd card to the deck, reshuffle and draw a new card:
- Probability of drawing a 4th red card = 2/3
Therefore,
Probability of drawing four red cards in a row (with replacement):
2/3 * 2/3 * 2/3 * 2/3 = 16/81
<u>16/81 = 0.1975</u>
