Directions: A bag contains 5 yellow, 6 red, 3 white and n black balls. The probability of drawing a white ball from the bag is . Based on this information, answer the following questions: 51\.How many black balls are there in the bag? (a) 6 (b) 7 (c) 8 (d) 9 52\.If a ball is picked at random from the bag, what is the probability that the chosen ball is not black? (a) (b) (c) (d) 53\.If a ball is picked at random from the bag, what is the probability that it is either yellow or black? (a) (b) (c) (d) 54\.If 5 more blue balls are added to the bag and one red ball is removed from it, what is the probability of picking up a red ball if a ball is picked up at random from the bag? (a) (b) (c) (d)

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KnowledgeBoat · Accepted Answer

51\. Total number of balls in bag = 5 yellow + 6 red + 3 white + n black = 14 + n Let E be the event of drawing a white ball. The number of favorable outcomes (white balls) = 3 Hence, option (b) is the correct option. 52\. Total number of balls in bag = 21 Let E be the event that the ball is not black. Number of favorable outcomes (yellow + red + white) = 5 + 6 + 3 = 14 Hence, option (a) is the correct option. 53\. Total number of outcomes = 21 Let E be the event that the ball is either yellow or black. Number of favorable outcomes (5 yellow + 7 black) = 12 Hence, option (b) is the correct option. 54\.Total number of balls in bag = 21 After adding 5 blue balls and removing 1 red ball, Total number of balls in bag = 25 Number of red balls remaining = 5 Let E be the event of picking a red ball. The number of favorable outcomes = 5 Hence, option (b) is the correct option.

Mathematics

Probability

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