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riadik2000 [5.3K]
3 years ago
8

Roger will flip a coin 3 times. Which 2 events are disjoint?

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer: D. Getting at least 2 heads and Getting at least 2 tails

=========================================================

Explanation:

Choice A is not disjoint because "getting at least 1 tail" could have the sequence TTH. We see that we have two tails and exactly one head. So the events "getting exactly 1 head" and "Getting at least 1 tail" are possible to occur at the same time; therefore, they aren't disjoint events. Disjoint events are two events that cannot occur simultaneously. An example would be flipping heads and tails on the same coin at the same time.

Choice B is also not disjoint. We could have the sequence THT, which has at least one head and at least one tail. "At least" means that amount or more.

Choice C is also not disjoint. We could have the sequence HTT. This has exactly one head and at least two tails.

Choice D is the only thing left. It must be the answer. It is not possible to get 2 heads and 2 tails when Roger only flips the coin 3 times. He would need to flip the coin at least 4 times for this to happen. The portions "at least" don't even need to be considered. So this shows how choice D is disjoint.

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Solve the equation.<br><br> 5d = 17.1<br><br><br> 12.1<br><br> 22.1<br><br> 85.5<br><br> 3.42
Rudiy27

Hello there!


5d = 17.1

The equation is asking you to find the value for "d". How to do that? Well, all you have to do is divide both side by 5.

5d/5 = 17.1

d = 3.42  

That's your answer!


You can even double check your work, if you want to. How? Well, you just need to replace 3.42 where it belongs.

5(3.42) = 17.1

17.1 = 17.1

True!


Let me know if you have additional questions. As always, it is my pleasure to help students like you!

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