SECTION 4
• This section contains THREE (03) questions.
• The answer to each question is a NON-NEGATIVE INTEGER.
• For each question, enter the correct integer corresponding to the answer using the mouse and the on-screen virtual numeric keypad in the place designed to enter the answer.
• Answer to each question will be evaluated according to the following marking scheme:
Full Mark : +4 If ONLY the correct integer is entered;
Zero Marks : 0 In all other cases.
A number is chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the probability that the chosen number is a multiple of 3 or a multiple of 7. Then the value of 500p is_____
Text Solution
Verified by Experts214
(214)
Let A ={1,2, 3, ....,2000}
Let E 1 = 3m, 1 
m 
666, m 
N
E 2 = 7k, 1 
k 
285,k 
N
= n(E 1 
E 2 ) = 666 + 285 - 95 = 856
= P(E 1 
E 2 ) = 856 / 2000 = 500 
= 856 / 4 = 214
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