Question

a pair of dice are rolled.Find the probability of rolling a sum of 5 with these dice.

Answer 1

Answer:

the probability = $\displaystyle\bf\frac{1}{9}$

Step-by-step explanation:

We can find the probability of rolling a sum of 5 using a pair of dice with the probability formula:

$\boxed{P(A)=\frac{n(A)}{n(S)} }$

where:

• $P(A)$ = probability of event A
• $n(A)$ = number of outcomes of event A
• $n(S)$ = total number of all outcomes

Since each dice has 6 faces and 2 dice are rolled, therefore:

$the\ total\ number\ of\ outcomes\ (n(S))= 6^2$

                                                   $\bf n(S)=36$

Let A = event of rolling a sum of 5, then:

A = {(1,4), (2,3), (3,2), (4,1)}

$\bf n(A)=4$

Using the probability formula:

$\displaystyle P(A)=\frac{n(A)}{n(S)}$

        $\displaystyle=\frac{4}{36}$

        $\displaystyle =\bf\frac{1}{9}$