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A weighted die comes up spots with the following probabilities: Spots 1 2 3 4 5 6 Probability 0.10 0.15 0.20 0.25 0.20 0.10 If two of these dice are thrown, what is the probability the sum is 10? show work.

Answer :

Answer:

Probability (A sum of 10)=0.1025

Step-by-step explanation:

[tex]\begin{center}\begin{tabular}{ c c c c c c c } Spots & 1 & 2& 3 & 4& 5 & 6 \\ \\Prob & 0.10 & 0.15& 0.20 & 0.25& 0.20 & 0.10 \end{tabular}\end{center}[/tex]

To find the Probability the sum is 10, we can either have

i. a 4 and a 6

ii. a 5 and a 5

Pr (A AND B) = Pr (A) x Pr(B)

Pr (A OR B) = Pr (A) + Pr(B)

Probability (A sum of 10) = Pr(getting a 4 AND a 6) OR Pr(getting a 5 AND a 5)

=(0.25 x 0.25)+(0.20 x 0.20)

=0.0625+0.04

=0.1025

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