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Question

Mathematics Question on Application of derivatives

Let E1,E2,E3E_1, E_2, E_3 be three mutually exclusive events such that P(E1)=2+3p6P \left( E _1\right)=\frac{2+3 p }{6}, P(E2)=2p8P \left( E _2\right)=\frac{2- p }{8} and P(E3)=1p2P \left( E _3\right)=\frac{1- p }{2} If the maximum and minimum values of pp are p1p _1 and p2p _2, then (p1+p2)\left( p _1+ p _2\right) is equal to :

A

23\frac{2}{3}

B

53\frac{5}{3}

C

54\frac{5}{4}

D

1

Answer

1

Explanation

Solution

The correct option is(D): 1.