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5 questions · timed · auto-graded

Question 12 Marks
Suppose S is the event that will happen tomorrow and P(S) = 0.03. Find P(S’)
Answer
Given, P(S) = 0.03
P(S’) = 1 – P(S)
P(S’) = 1 – 0.03 ............[∵ P(S) + P(S’) = 1]
P(S’) = 0.97
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Question 22 Marks
In a cricket match, a batsman hits a boundary 12 times out of 80 balls he plays, further, if he plays one ball more, what will be the probability that:
(i) he hits a boundary
(ii) he does not hit a boundary
Answer
(i) Total number of balls $=80$
Hits boundaries $=12$ times
$\therefore P$ (Hitting a boundary) $=\frac{12}{80}=\frac{3}{20}$
(ii) $\mathrm{P}$ (of not hitting a boundary) $=\frac{68}{80}=\frac{17}{20}$
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Question 32 Marks
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 40
Answer
Here, the total number of cards $=100$
card is drawn with number $=40$
favourable outcomes $=1$
Total number of outcomes $=100$
$\therefore P=\frac{1}{100}$
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Question 42 Marks
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 80
Answer
Here, the total number of cards $=100$
card is drawn with number $=80$
favourable outcomes $=1$
Total number of outcomes $=100$
$\therefore \mathrm{P}=\frac{1}{100}$
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Question 52 Marks
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 50
Answer
Here, the total number of cards $=100$
card is drawn with number $=50$
favourable outcomes $=1$
Total number of outcomes $=100$
$\therefore P=\frac{1}{100}$
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[2 Mark Question Answer] - MATHS STD 7 Questions - Vidyadip