1. Tardigrade
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  3. Mathematics
  4. In an experimental performance of a single throw of a pair of unbiased normal dice, three events E1, E2 E3 are defined as follows: E1: getting a prime numbered face on each dice E 2: getting the same number on each dice E 3: getting a sum on two dice equal to 8 . Then:

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Q. In an experimental performance of a single throw of a pair of unbiased normal dice, three events $E_1, E_2$ $\& E_3$ are defined as follows:
$E_1: $ getting a prime numbered face on each dice
$E _2$ : getting the same number on each dice
$E _3$ : getting a sum on two dice equal to 8 . Then:

Probability - Part 2

Solution:

$E_1=\{(2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(5,2),(5,3),(5,5)\}$
$E_2=\{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)\}$
$E_3=\{(2,6),(3,5),(4,4),(5,3),(6,2)\}$
clearly $(1),(2)$ and $(3)$ are correct.