QUESTION 4

After removing all of the clubs from a deck of cards, you are left with a 39 card deck with Hearts, Diamonds, and Spades. Answer the following question assuming that after each draw of a card, that card is returned to this deck and reshuffled.
What is the probability (in decimal, not fraction) of drawing four red cards in a row (with replacement)? Give your answer in decimal form, rounded to 4 decimal places.

The probability of drawing four red cards in a row (with replacement)is 0.1975

Step-by-step explanation:

Assuming we have a standard card deck, we'll have this color distribution:

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:

Therefore,

Probability of drawing four red cards in a row (with replacement):

2/3 * 2/3 * 2/3 * 2/3 = 16/81

16/81 = 0.1975

yes

yes yes yes

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