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2 answers:
Area of large rectangle = 10 * 5 = 50 square units
Area of shaded rectangle = 9 * 3 = 27 square units
the shaded rectangle is 27/50 = 54% of the larger rectangle
100% - 54% = 46% chance of not being in the shaded rectangle
Area of large rectangle = L × B
= 10 unit × 5 unit
= 50 sq. unit.
Now,
Area of Shaded region = L × B
= 9 unit × 3 unit
= 27 sq.unit.
Ar. of unshaded region = 50 sq.unit - 27 sq.unit
= 23 sq.unit.
Favourable outcome = 23 sq. unit
Total outcome = 50 sq.unit
P = 23 sq. unit ÷ 50 sq. unit
= 23 / 50.
Let 50 of x% is 23.
50 × x / 100 = 23
x/2 = 23
x = 23 × 2
x = 46.
= 46%.
The required answer is option c.46%.
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