Acoin is tossed 8 times. which of the following represents the probability of the coin landing on heads all 8 times?

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rwbrayan8727

15.05.2020

Mathematics

Choice A. The shading in the Venn Diagram shown in the first attachment represents the set $(K \cup M) \; \cap \; (K \cup L)$ .

Step-by-step explanation:

Let , , and be sets. By the distributive law of sets, $A \cup (B \cap C)$ and $(A \cup B) \cap (A \cup C)$ refer to the same set.

Apply this property to simplify the given expression:

$\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}$

$M \cap L$ refers to the intersection between the two lower circles. The union of that intersection with set (the upper circle) would be the shaded region seen in choice A.

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