Question

Based on past experience miss olenik knows 1/5 of the mistakes on the essays she grades are grammar mistakes 1/8 of the mistakes are spelling mistakes and 1/12 of the mistakes are both grammar and spelling mistakes if an essay is selected at random what is the probability that the essay contains a grammar mistake or a spelling mistake

Answer 1

29/120 is probability that the essay contains a grammar mistake or a spelling mistake

Step-by-step explanation:

grammar mistakes  G = 1/5

spelling mistakes   S = 1/8

both grammar and spelling mistakes G ∩ S = 1/12

grammar mistake or a spelling mistake = G U S

G U S = G + S - G ∩ S

=> G U S = 1/5 + 1/8  - 1/12

=> G U S = (24 + 15  - 10)/120  

=> G U S = 29/120

probability that the essay contains a grammar mistake or a spelling mistake

= 29/120

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