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If the probability of infecting three varieties of tomato (A, B, and C) with one of...

If the probability of infecting three varieties of tomato (A, B, and C) with one of the fungal infections is: 0.3, 0.3 and 0.3, respectively. If a farm is cultivated with three varieties, what is the probability: that all varieties will develop a fungal disease *

Math   Statistics-And-Probability   
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Answer #1

The farm cultivates all these 3 varieties of tomatoes, that are A, B and C.

Given that,

Probability that A will develop fungal disease is 0.3.

Probability that B will develop fungal disease is 0.3.

Probability that C will develop fungal disease is 0.3.

So now probability that all the 3 varieties will develop fungal disease is product of probability that A,B and C will develop fungal disease (as these are independent events)

= 0.3*0.3*0.3= 0.027

Answer:0.027

Hope the solution helps. Thank you.

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