Two uniform dice marked 1 to 6 are thrown together- The probability that the score on the two dice is least seven isdfrac-5-12-dfrac-7-12-dfrac-1-2-dfrac-3-4-

Question

Toppr Admin · Accepted Answer

Probability that the score on the two dice is at least seven $=$ $1$ $-$ Probability when score on the two dice is less than seven.

There are following cases when score on the two dice is less than seven:

When sum is $2 : (1, 1); 3 : (1, 2) (2, 1); 4 : (1, 3) (2, 2) (3, 1); 5 : (1, 4) (2, 3) (3, 2) (4, 1); 6 : (1, 5) (2, 4) (3, 3) (4, 2) (5, 1)$ $= 15$ cases.

Probability that the score on the two dice is at least seven $= 1 - \frac{15}{6 \times 6} = \frac{7}{12}$

Two uniform dice marked 1 to 6 are thrown together. The probability that the score on the two dice is at least seven is5127121234

Two uniform dice marked $1$ to $6$ are thrown together. The probability that the score on the two dice is at least seven is
$\frac{5}{12}$
$\frac{7}{12}$
$\frac{1}{2}$
$\frac{3}{4}$