328 Q.31A pair of dice is thrown. If the two numbers appearing are different, find the probability that (i) the sum is 6 (ii) the sum is four or less. Ans. (i) 2/15 (ii) 2/15 1:litu that card is

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Solve q31

Basic Statistics Part-I
Q.31 A pair of dice is thrown. If the two numbers appearing are different, hnd the.
[Cha
328
Q.3
probability that (i) the sum is 6 (ii) the sum is four or less.
Ans. (i) 2/15
(ii) 2/15
Q.32 A card is taken at random from playing cards, find the probability that card is
a king, when it is given ( known) that the card is
(i) red
Ans. (i)
(ii) of diamonds
(iii) faced.
1/13
(ii) 1/13
(iii) 1/3
Q.33 In a firm, 20 percent of the employees have accounting background, while 5
percent of the employees are executives and have accounting background. If an
employee has an accounting background, what is the probability that the
employee is an executive?
Ans. 1/4
Q.34 The probability that a regularly scheduled flight departs on time is P(D) = 0.83,
the probability that it arrives on time is P(A) = 0.92, and the probability that it
departs and arrives in time is P( Dn A) = 0.78. Find the probability that a
plane (i) arrives in time given that it departed on time, and (ii) departed on
time given that it has arrived in time.
%3D
%3D
Transcribed Image Text:Basic Statistics Part-I Q.31 A pair of dice is thrown. If the two numbers appearing are different, hnd the. [Cha 328 Q.3 probability that (i) the sum is 6 (ii) the sum is four or less. Ans. (i) 2/15 (ii) 2/15 Q.32 A card is taken at random from playing cards, find the probability that card is a king, when it is given ( known) that the card is (i) red Ans. (i) (ii) of diamonds (iii) faced. 1/13 (ii) 1/13 (iii) 1/3 Q.33 In a firm, 20 percent of the employees have accounting background, while 5 percent of the employees are executives and have accounting background. If an employee has an accounting background, what is the probability that the employee is an executive? Ans. 1/4 Q.34 The probability that a regularly scheduled flight departs on time is P(D) = 0.83, the probability that it arrives on time is P(A) = 0.92, and the probability that it departs and arrives in time is P( Dn A) = 0.78. Find the probability that a plane (i) arrives in time given that it departed on time, and (ii) departed on time given that it has arrived in time. %3D %3D
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