Page 167 - Engineering Mathematics Workbook_Final

Probability & Statistics

12. Given Set A = {2, 3, 4, 5} and Set B 14. Four cards are randomly selected
= {11, 12, 13, 14, 15}, two numbers from a pack of 52 cards. If the first
are randomly selected one from each two cards are kings, what is the
sell. What is the probability that the probability that third card is a king?
sum of the two numbers equals 16?
4
(a)
(a) 0.20 (b) 0.25 52

(c) 0.30 (d) 0.33 2
(b)
[GATE-2015 (EE-SET-1 & CS-SET-1)] 50

13. The probabilities that a student passes  1    1 




in Mathematics, Physics and (c)   52     52  




Chemistry are m, p and c
respectively. Of these subjects, the (d)  1    1    1 






student has 75% chance of passing in   52     51     50  






at least one, a 50% chance of passing
in at least two and a 40% chance of [GATE-2015-CE-SET-2]
passing in exactly two. Following 15. The probability of getting a “head” in
relations are drawn in m, p, c
a single toss of a biased coin is 0.3.
27 The coin is tossed repeatedly till a
+
+
I. p m c = “head” is obtained. If the tosses are
20
independent, then the probability of
13 getting “head” for the first time in the
+
+
II. p m c =
20 fifth toss is _________.
1 [GATE-2016-EC-SET-3]
p 
m 
III. ( ) ( ) ( ) c =
10 16. Candidates were asked to come to an
interview with 3 pens each. Black,
(a) Only relation I is true
Blue, green and red were the
(b) Only relation III is true permitted pen colours that the
candidate could bring. The
(c) Relations II and III are true
probability that a candidate comes
(d) Relations I and III are true with all 3 pens having the same
colour is _________.
[GATE-2015 (EE-SET-1 & CS-SET-1)]
[GATE-2016-EE-SET-1]

165