# STT205 Tma Solutions

STT205

Question: A bag contains 4 red balls, 3 blue balls and 5 yellow balls. If a ball is selected at random, find \nthe probability that the ball will be blue or yellow.

Answer: 0.6667

Question: An um containslO balls of equal size but distinguishable only by colour. 5 of the balls are blue, 3 are red \nand 2 are green. If a ball is selected at random, what is the probability that it will be a white ball?

Answer: \\(0\\)

Question: An experiment involves studying the composition of genders of a set of triplets. What is the \nprobability that there are 2 boys and a girl in the set?

Answer: 0.375

Question: A card is drawn from an ordinary deck. Find the probability of getting a 3 or a diamond card

Answer: 0.3077

Question: A coin is flipped and a die is rolled. Find the probability of getting a tail on the coin and a 3 on the die.

Answer: 0.0833

Question: Consider the composition of a 3- child family in which the children were bom at different \ntimes but a girl is as likely as a boy at each birth. What is the probability that the oldest child \nand the youngest child are of the same gender?

Answer: 0.5

Question: If the probability that it may rain tomorrow is 2/5, what is the probability that it may not rain?

Answer: 0.6

Question: When a coin is tossed 5 times, how many possible outcomes are expected to be \nlisted in the sample space?

Answer: 32

Question: Consider an experiment of tossing an unbiased coin three times. What is the probability \nof obtaining four heads?

Answer: \\(0\\)

Question: In a single throw of a fair die, what is the probability that an odd number or a \nperfect square greater than one shows up?

Answer: 0.6667

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