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BITSAT2024MathematicsProbabilityActual

The probability of getting 10 in a single throw of three fair dice is

Options

  1. A1 6
  2. B1 8
  3. C1 9
  4. D1 5

Correct answer

B. 1 8

Step-by-step solution

Total outcomes =216 Now, number of cases of getting 10 from 3 dices in single throw are Case 1:~1+3+6 outcomes =3!=6 Case 2:~1+4+5 outcomes =3 ! =6 Case 3:~2+2+6 outcomes = 3! 2! =3 Case 4:~2+3+5 outcomes =3!=6 Case 5:~2+4+4 outcomes = 3! 2! =3 Case 6:~3+3+4 outcomes = 3! 2! =3 Favourable outcomes =27 Probability = 27 216 = 1 8 aligned & & (x+24)(x-20) & =0 & & x & =20 aligned

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