A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 1

Question

A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability the marble is blue or even numbered. A computer password must be eight characters long. How many passwords are possible if only the 26 letters of the alphabet are allowed? In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if order doesn't matter? A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male.

Explanation / Answer

32. Total number of marbles = 4 red marbles + 10 blue marbles = 14

Number of blue marbles = 10

Number of even numbered marbles = 2 red even numbered marbles + 5 even blue numbered marbles = 7 even marbles

Probability of getting a blue marble or even numbered marble

= P(getting blue marble) + ( even numbered marble) - P (blue even numbered marble)

= (10/14) + (7/14) - (5/14)

= (12/14) = (6/7)

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