Probability

A speaks the truth 2 out of 3 times and B speaks the truth 4 out of 5 times. Both agreed to the assertion that from a bag containing 6 balls i.e, red, blue, yellow, white, purple and orange, a red coloured ball has been taken out. If the probability of the statement being true can be expressed as p/q where p and q are natural co prime numbers, find the value of p+q.

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