Mathematics: 3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?

3. Two dice are rolled. What’s the conditional probability

ugum

11.07.2021

$Pr =\frac{1}{3}$

Step-by-step explanation:

Given

$S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)$

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

$(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}$ --- sample space

First, list out all outcomes whose sum is divisible by 5

$A = \{(4,6), (5,5),(6,4)\}$

So, we have:

n(A) = 3

Next, list out all outcomes that has an outcome of 5 in both rolls

$B = \{(5,5)\}$

n(B) =1

The required conditional probability is:

$Pr =\frac{n(B)}{n(A)}$

$Pr =\frac{1}{3}$

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jaystarr603

12.07.2020

x=13

Step-by-step explanation:

13-6=7

Then the 9

2(13)-19=7

7+7=14

14+9=23

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