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  • (i)A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle

A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a

(i) triangle
(ii) square
(iii) square of blue colour
(iv) triangle of red colour

 

Answers (1)

(i) Answer.  [4/9]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total piece = 8 + 10 = 18
Total triangles = 8
Favourable cases = 8
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that piece is a triangle = \frac{8}{18}= \frac{4}{9}

(ii) Answer. [5/9]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total piece = 8 + 10 = 18
Total square = 10
Favourable cases = 10
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that the piece is a square = \frac{10}{18}= \frac{5}{9}

(iii) Answer. [1/3]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total piece = 10 + 8 = 18
Square of blue color = 6
favourable cases = 6
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that piece is a square of blue color = \frac{6}{18}= \frac{1}{3}

(iv) Answer. [5/18]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total piece = 10 + 8 = 18
triangle of red color = 8 – 3 = 5
favourable cases = 5
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that piece is a triangle of red colour = \frac{5}{18}

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