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A new toothbrush company, Oralgate, conducted market research to understand the demand for its products. It surveyed 406 members of public and asked the following

A new toothbrush company, Oralgate, conducted market research to understand the demand for its products. It surveyed 406 members of public and asked the following two questions:

1. Do you like soft toothbrushes?

2. Do you like hard toothbrushes?

203 indicated they liked hard toothbrushes. Among these 203 people, 15 of them liked both kinds of toothbrushes. 157 liked soft toothbrushes. If a person is chosen at ramdom, what is the probability that this person likes soft toothbrushes or likes hard toothbrushes? (3 decimal places)

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