A gambling book recommends the following "winning strategy" for the game of roulette. It advises a $1 single wager from the player. When the color red appears (probability 18/38), the gambler should take her $1 profit . If the gambler loses this bet (which has probablity 20/38 of occurring), she should make additional $1 bets on red on each of the next two spins of the roulette wheel and then quite. Let X denote the gamblers
To locate a fruitful well, an oil prospector will drill a series of holes in a particular area. The probability that he is successful on a given trial is 0.2. What is the chance that the third hole drilled will be the first to produce a successful well?
With one score eliminated from the population, the new mean is discovered to be , which corresponds to a population of N = 16 scores with a mean of p = 20. What was the significance of the removed in-e score?
Flipping coins results in a probability of 0.4 heads for coin 1 and 0.7 heads for coin 2, respectively. One of these coins is picked at random and flipped a total of 10 times.
(a) What is the probability that exactly 7 of the 10 flips land on heads?
(b) Given that the first of these ten flips lands heads, what is the conditional probability that exactly 7 of the 10 flips lands on heads?