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At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender.
The probability that a competitor reacted in over 0.7 seconds is 0.6, the probability that a competitor was female is 0.4, and the probability that a competitor reacted in over 0.7 seconds and was female is 0.3.
What is the probability that a randomly chosen competitor reacted in over 0.7 seconds or was female?
Write your answer as a whole number, decimal, or simplified fraction.
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