KnowledgeBoat Logo
|

Mathematics

In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?

  1. (14)\Big(\dfrac{1}{4}\Big)

  2. (16)\Big(\dfrac{1}{6}\Big)

  3. (712)\Big(\dfrac{7}{12}\Big)

  4. (536)\Big(\dfrac{5}{36}\Big)

Probability

3 Likes

Answer

When two dice are thrown simultaneously, each die has 6 possible outcomes.

Total number of outcomes = 36

Let E be the event of getting a total of 10 or 11,

E = {(4, 6), (5, 5), (6, 4), (5, 6), (6, 5)}

The number of favorable outcomes to the event E = 5

∴ P(E) = Number of favorable outcomesTotal number of outcomes=536\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{5}{36}

Hence, option 4 is the correct option.

Answered By

3 Likes


Related Questions