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TEST 2 PROBABILITY AND STATISTICS 11.04.2017

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TEST 2

PROBABILITY AND STATISTICS

11.04.2017

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1. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A. 1/15 B. 25/57 C. 35/256 D. 1/221

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2. In a playoff series, the probability that Team A wins over Team B is 3/5 and the probability that Team C

wins over Team D is 4/7. If the events are

independent, the probability that Team A wins and Team C loses is:

A. 9/35 B. 12/35 C. 7/12 D. 1/3

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3. Three unbiased coins are tossed. What is the probability of getting at most one head?

A. 1/4 B. 1/2 C. 3/8 D. 7/8

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4. A 5 digit PIN number can begin with any digit (except zero) and the remaining digits have no restriction. If repeated digits are allowed, the

probability of the PIN code beginning with a 7 and ending with an 8 is:

A. 1/10 B. 2/5 C. 1/100 D. 1/90

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5. Probability that a randomly chosen point of a square of size a=10 cm will be found inside a circle inscribed in this square is:

A) π/4 B) 1-π/4 C) 1- 3π/4 D) 1/100

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