ame 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? (d) at most 2 gimel s?

Q: 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 onenun (b) exactly 2 nuns (c) exactly 1 hei (d) at most 2 gimels StepBy Step Solution:Step1 of 5:This is a type of binomial distribution:Given data:Since there are 4 letters, therefore, probability of success for each letter is same,Step2 of 5:(a)At Least one nun:Therefore the probability of getting at least one nun is 0.58.Step 3of 5:(b)Exactly 2 nuns:Therefore the probability of getting exactly 2 nuns is 0.14Step 4 of 5:(c) Exactly one hei:Therefore the probability of getting exactly one hei is 0.42.\nStep 5 of 5:(d)At Most 2 gimels:From earlier steps,Therefore probability of getting at most 2 gimels is 0.98.