A dreidl is a four-sided top that contains a Hebrew letter on each side: nun, gimmel, heh, shin. Curious as to whether or not it is fairly balanced, Dorothy spins her dreidl ten times, observing five gimels and five hehs. Surprised by these results, Dorothy decides to compute the probability that a fair dreidl would produce such aberrant results.
Which of the following probabilities is the most appropriate choice of a significance probability for this investigation?
(a) Five gimmels and five hehs
(b) No nuns or shins
(c) Two letters are absent and two letters are present
(d) At least two letters are absent
And WHY???
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4.21 Game of dreidel. A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun? (b) exactly 2 nuns? (c) exactly 1 hei? (a) at most 2 gimels? Photo by Staccabees, cropped (http://flic.kr/p/7gLZTA) CC BY 2.0 license 4.26 Male...