Respuesta :
The probability that their sum will be greater than 9, given that the first die is a 5 will be 0.0556 or 5.56%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
If two dice are rolled.
Then the probability that their sum will be greater than 9, given that the first die is a 5 will be
The total event will be
Total event = 6 × 6 = 36
Then the favorable event will be
Favorable event = 2 {(5,5), (5,6)}
Then the probability will be
[tex]\rm P = \dfrac{2}{36}\\\\P = \dfrac{1}{18}\\\\P = 0.0556 \ or \ 5.56\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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