Question

A pair of dice is thrown once .the probability that the sum of the outcomes is less than 11 is

Answer 1

When a pair of dice are thrown, there are 36 different possible outcomes.

[ I have attached the possible outcomes]

We see that, Sum of numbers on the dice is equal or greater than 11 only for 3 outcomes. They are (5,6), (6,5),(6,6)

So, Outcomes whose sum is less than 11 are 33 in number.

Favorable outcomes n(E) = 33

Total outcomes n(S) = 36

We are aware that,

Probability = Favorable outcomes / Total outcomes

= n(E) / n(S)

= 33/36

= 11/12

Therefore, A pair of dice is thrown once .the probability that the sum of the outcomes is less than 11 is 11/12

Answer 2

Answer:

11/12 or 0.91 or 91%

Step-by-step explanation:

A pair of dice is thrown means that 2 die were thrown at the same time.

From the given attachment, it is clear that there are 36 outcomes in all when 2 die are thrown in an experiment.

Since, Probability of an event = (No. of favorable outcomes) ÷ (Total no. of outcomes)

And, here, no. of favorable outcomes is 33 (the ones whose sum is less than 11 are highlighted in grayish-blue color).

So, the probability that the sum of the two numbers is less than 11 will be 33/36 or 11/12 or 0.91 or 91%.