Let two fair six-faced dice A and B be thrown simultaneously. If E 1 is the event that die A shows up four, E 2 is the event that die B shows up two and E 3 is the event that the sum of numbers on both dice is odd, then which of the following statements is not true?

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Aicharya · Accepted Answer

E 1 &#8594; A show up 4 E 2 &#8594; B shows up 2 E 3 &#8594; &#160; Sum is odd (i.e., even + odd or odd + even) P E 1 = 6 6.6 = 1 6 P E 2 = 6 6.6 = 1 6 P E 3 = 3.3 6.6 + 3.3 6.6 = 2 4 = 1 2 P E 1 &#8745; E 2 = 1 6.6 = P E 1 &#160; . &#160; P E 2 &#8658; E 1 &#160; &#38; &#160; E 2 are independent P E 1 &#8745; E 3 = 1.3 6.6 = P E 1 &#160; . &#160; P E 3 &#8658; E 1 &#160; &#38; &#160; E 3 are independent P E 2 &#8745; E 3 = 1.3 6.6 = 1 12 = P E 2 &#160; . &#160; P E 3 &#8658; E 2 &#160; &#38; &#160; E 3 are independent P E 1 &#8745; E 2 &#8745; E 3 = 0 &#8800; P ( E 1 ) &#215; P ( E 2 ) &#215; P ( E 3 )

Let two fair six-faced dice A and B be thrown simultaneously. If E 1 is the event that die A shows up four,…

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