If I picked a red checker from a bag of 9 black checkers and 6 red checkers, replacing it, and picking a red checker. What would the probability be of each set???

3 answers

each set?

With replacement, the probability for red remains 6/15 = 2/5

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
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