We would like to draw 3 cards with replacement from a standard deck of 52 playing cards (13 hearts, 13 spades, 13 clubs, 13 diamonds). Let A represent drawing at least 2 hearts. A is an example of _____.
A family owns 10 different dogs. Among the dogs we know that 3 are white, 4 are gold, and 3 are brown. What is the probability that a randomly selected dog is Gold orBrown? Enter your answer as a decimal.
Since 'A' represents "at least 2", this is an example of binomial probability. The event 'A' can be anything from pulling 2 to 13 hearts.
Let 'G' represent gold dogs, and let 'B' represent brown dogs. Here we are looking for P(G or B). We cannot select a dog that is gold and brown, so these events are mutually exclusive. For mutually exclusive events, we will use the formula P(G or B) = P(G) + P(B) = 4/10 + 3/10 = 7/10 or 0.7.
