Q1 ) . You draw a card at random from a standard deck of 52 cards. Neither you nor anyone else looked at the card you picked. You keep it face down. Your friend so picks a card at random from a staying 51 cards. a ) What is the chance that your card is one of spades? 1/52 B ) What is the chance that your friend’s card is one of spades? ( Hint: Concept the sample infinite for what your friend’s card can be. ) 1/51 degree Celsius ) You turn over your card and it is 10 of diamonds.
Now what is the chance that your friend’s card is the one of spades? 1/51 Q2 ) . Suppose that 25 % of the population in your country is exposed to a telecasting commercial of Ford Automotive. and 34 % is exposed to Ford’s wireless advertizements. Besides it is known that 10 % of the population is exposed to both agencies of advertisement. If a individual is indiscriminately chosen out of the full population in this country. what is the chance that he or she was exposed to at least one of the two manners of advertisement? Autonomic nervous systems: P ( A ) = 0. 25 P ( B ) = 0. 34 P ( A^B ) = 0. 10.
Probability that he/she was exposed to at least one manner of advertisement = 0. 25 + 0. 34 + 0. 1 = 69 % Q3 ) . A Firm has 550 employees. 380 of them have had at least some college instruction. and 412 of the employees underwent a vocational preparation plan. Furthermore. 357 employees are both college educated and have had vocational preparation. If an employee is chosen at random. what is the chance that he or she is college educated or has had the vocational preparation or both? Q4 ) .
A bank loan officer knows that 12 % of the bank’s mortgage holders lose their occupations and default on the loan in the class of 5 old ages. She besides knows that 20 % of the bank’s mortgage holders lose their occupations during this period. Given that one of her mortgage holders merely lost his occupation. what is the chance that he will now default on the loan? Q5 ) .
A Recent study conducted by Towers Perrin and published in the Financial Times showed that among 460 organisations in 13 European Countries. 93 % have bonus programs. 55 % have cafeteria-style benefits. and 70 % employ home-based workers. If the types of benefits are independent. what is the chance that an organisation selected at random will hold at least one of the three types of benefits? P ( A ) = 0. 93. P ( B ) = 0. 55. P ( C ) = 0. 70.
P ( Not A ) = 1 – 0. 93. P ( Not B ) = 1-0. 55. P ( Not C ) = 1-0. 70
P ( Not A B C ) = 0. 07 * 0. 45 * 0. 30 = 0. 01155
P ( atleast 1 event happening ) = 1-0. 01155 = 0. 988.