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4 questions · timed · auto-graded

Question 13 Marks
In a survery of 200 employees of a company, it was found that 89 liked the lunch packs provided by the company while the rest did not. Out of these employees, if one employee is chosen at random, what is the probability that the chosen employee : dislikes the lunch pack?
Answer
$\frac{111}{200}$
[Hint: (i) $P$ (chosen employee likes the lunch packs) $=\frac{89}{200}$
(ii) $P($ chosen employee dislikes the lunch packs $\left.)=\frac{200-89}{200}\right]$
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Question 23 Marks
In a survery of 200 employees of a company, it was found that 89 liked the lunch packs provided by the company while the rest did not. Out of these employees, if one employee is chosen at random, what is the probability that the chosen employee : likes the lunch pack?
Answer
$\frac{89}{200}$
[Hint: (i) $P$ (chosen employee likes the lunch packs) $=\frac{89}{200}$
(ii) $P($ chosen employee dislikes the lunch packs $\left.)=\frac{200-89}{200}\right]$
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Question 33 Marks
Five cards numbered 1 to 5 are placed in a bag. A card is drawn from the bag 30 times. Each time, the number on the drawn card is noted and the card drawn is replaced. The outcomes are tabulated as shown below :
Outcome 12345
Frequency 410754
If a card is now drawn at random, find the probability that the card drawn bears the number :
(i) 2
(ii) 3
(iii) 5
Answer
(i) $\frac{1}{3}$
(ii) $\frac{7}{30}$
(iii) $\frac{2}{15}$
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Question 43 Marks
A die is rolled 150 times and the outcomes are noted which are tabulated as shown below :
Outcome 123456
Frequency 291724193328
When a die is rolled at random, find the probability of getting a :
(i) 1
(ii) 4
(iii) 5
Answer
(i) $\frac{29}{150}$
(ii) $\frac{19}{150}$
(iii) $\frac{11}{50}$
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[3 marks sum] - MATHS STD 7 Questions - Vidyadip