Two unbiased 6-sided dice are rolled, a red one and a black one. Let E and F be the events E : the s

Question

Two unbiased 6-sided dice are rolled, a red one and a black one. Let E and F be the events E : the same number appears on both dice; F : the sum of the numbers is 10. Find

$P(E)$;
$P(F)$;
$P(E ∪ F)$.

[6]

Accepted Answer

Only $(5,5)$ is in both events, so $P(E\cup F)=\frac16+\frac1{12}-\frac1{36}=\frac29$.

Calculate intersection/union probabilities for overlapping dice events.

Calculate intersection/union probabilities for overlapping dice events.

Solution:

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