4.3.08 Binomial Prob 1
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The document discusses binomial probabilities and permutations for repeated independent trials with two possible outcomes. It asks what the probability is of getting 4 or more blues when spinning a spinner 6 times, and the probability of getting 3 or more reds in 6 spins. It introduces the binomial probability theorem for calculating these probabilities.
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4.3.08 Binomial Prob 1
- 1. Binomial Probabilities Two possible outcomes, which must be mutually exclusive. Repeated trials must be independent. If we spin the spinner from the warm-up 6 times, what is the probability of getting 4 or more blues?
- 2. What about different Permutations? BBBBBB BBBBBR BBBBRB BBBRBB BBRBBB BRBBBB RBBBBB BBBBRR BBBRBR BBRBBR BRBBBR RBBBBR BBBRRB BBRBRB BRBBRB RBBBRB BBRRBB BRBRBB RBBRBB BRRBBB RBRBBB RRBBBB 6 Blue? 5 Blue? 4 Blue?
- 3. How does this relate to binomials?
- 4. In 6 spins, what is the probability of getting three or more reds?
- 5. Binomial Probability Theorem If a binomial experiment has n trials, and the probability of success is p in each trial (which means that q , the probability of failure, is (1- p )), then