Long Answer Type(b) Events A, B and C of S which are mutually exclusive and exhaustive.
(c) Events A and B of S which are not mutually exclusive.
Two dice are thrown. The events A, B, C, D, E, F are as follows:
A : Getting an even number on the first die.
B : Getting an odd number on the first die.
C : Getting sum of numbers on the two dice as ≤ 5.
D : Getting the sum of two numbers on the dice greater than 5 but less than 10.
E : Getting sum of numbers on the two dice as ≥ 10.
F : Getting an odd number on exactly one of the dice.
Describe events (i) A' (ii) B' (iii) E' (iv) A or B (v) A and B (vi) B or C (vii) B and C (viii) A and E (ix) A or F (x) A and F.
Two dice are thrown. The events A, B, C are as follows:
A : Getting an even number on the first die.
B : Getting an odd number on the first die.
C : Getting the sum of the numbers on the dice ≤ 5
Describe the events:
(i) A' (ii) not B (iii) A or B
(iv) A and B (v) A but not C (vi) B or C
(vii) B and C (viii) A ∩ B' ∩ C' (ix) A ∩ B ∩ C'
The numbers 1, 2, 3, 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly.
Two slips are then drawn from the box, one after the other, without replacement. Events A, B, C and D are described as follows:
A : The number on the first slip is greater than the number on the second slip.
B : The number on the second slip is greater than 2.
C : The sum of the numbers on the two slips is 6 or 7.
D : The number on the second slip is twice the number on the first slip.
E : The number on the first slip is 3 times that on the second slip.
Find: (a) Which pairs of events are mutually exclusive?
(b) Which of the events are simple events?
(c) Which of the events are compound events?
Short Answer Type
Long Answer Type
(ii) 0 (iii) 
(iv) 
for probability of occurrence of any event A.![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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lies between 0 and 1.
does not lie between 0 and 1.
does not lie between 0 and 1.Short Answer Type
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is the probability of an event, what is the probability of the event 'not A'.
