In: Math
Part 1.
When a probability experiment only has two possible outcomes and
you know the probability of one outcome, you can find the
probability of the other outcome by computing (the complementary
probability, using the addition rule, using the multiplication
rule)
To find the probability of two (mutually exclusive, independent)
events both occurring, you may simply multiply their individual
probabilities.
When two scenarios are (mutually exclusive, independent) , we can
simply add their probabilities together to find the probability
that one scenario or the other scenario occurs.
Part 2.
When using the choose function, the top number n represents (number of successes, number of trials, probability) and the bottom number k represents (number of trials, probability, number of successes )
Part 3.
Suppose you flip a coin 6 times. For each of the 6 trials there are 2 possible outcomes, heads or tails. Heads and tails each have a probability of 0.5 per trial. Consider "heads" to be a success. What is the probability that you only have 2 successes in 6 trials? Round your answer to four digits after the decimal point.