The probability of rolling two six-sided dice and having the sum on the two dice equal 7 is . You roll two dice six times. Are y

Question

3 years ago

12

ou guaranteed to get a sum of 7 once?

1 answer:

n200080 [17] · Answer 1 · 2023-02-10T15:08:53+03:00

Probabilities are used to determine the chances of events

It is not guaranteed to have a sum of 7 once in 6 rolls

The probability is given as:

$Pr = \frac 16$

The number of rolls is:

$n = 6$

The expected value of having a sum of 7 is calculated using:

$E(x) =np$

So, we have:

$E(x) =6 \times \frac 16$

$E(x) =1$

This means that, in 6 rolls of 2 dice, it is expected to have a sum of 7 once; however, it is not guaranteed.

Hence, it is not guaranteed to have a sum of 7 once;