You are dealt two cards successively (without replacement) from a shuffled deck

Question

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction. A) 2/13 B) 13/102 C) 4/663 D) 1/663 Find the indicated probability. Round to the nearest thousandth. A sample of 4 different calculators is randomly selected from a group containing 18 that are defective and 40 that have no defects. What is the probability that at least one of the calculators is defective? A) 0.180 B) 0.215 C) 0.774 D) 0.785 Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and drinks cola. A) 4/19 B) 4/51 C) 4/17 D) None of the above is correct.

Explanation / Answer

44)

The probability of one calculator with no deffect is 40/58 (here 40 are number of calculators that are no defect tytpe

and 58 is for total number of calculators that is defective + not defective.)

The probability of second calculator with no deffect is 39/57.

The probability of third calculator with no deffect is 38/56

The probability of forth calculator with no deffect is 37/55

So probability that 4 different calculators with no defect is found by multiplying individual probabilities together.

40/58 * 39/57 * 38/56 * 37/55

= 0.2154

So probability that at least one calculator is defective in 4 different calculators is

`1 - 0.2154 = 0.7856

That is 0.785

Option D) in answer is correct.

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