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Three coins were tossed Answer tho quostions:Wha: Is the probability that the first coin has "Tail" as an outcome? points)1/5 1/6 None of theseWhat is the...

Question

Three coins were tossed Answer tho quostions:Wha: Is the probability that the first coin has "Tail" as an outcome? points)1/5 1/6 None of theseWhat is the probability that the first two coins both have "Tails" as the outcome? (5 points) 2/3 1/4 1/8 3/8 Nono of theseIII) What Is the probability that the number of "Talls" on these three coins equel to 2? (5 points) 2/3 b: 1/83/8 None of these

Three coins were tossed Answer tho quostions: Wha: Is the probability that the first coin has "Tail" as an outcome? points) 1/5 1/6 None of these What is the probability that the first two coins both have "Tails" as the outcome? (5 points) 2/3 1/4 1/8 3/8 Nono of these III) What Is the probability that the number of "Talls" on these three coins equel to 2? (5 points) 2/3 b: 1/8 3/8 None of these



Answers

Find the probability of each event. Three coins are tossed. What is the probability of two heads and one tail?

All right, if a single coin is toast and what is the probability off getting a heads be fewer than two tails. Ah, see exactly three tails. Okay, so the simple Spence off tossing coin is head 02 Those are the only true possibilities that you can't have it now. What is the probability off getting its? It's one off, too. And the second question say's. What is the probability of getting fewer than to tells fewer than two tails less than to receive is it was what was you certainly get list on two teeth. Um, tent. Exactly three towels ability off getting t if you just said queen ones with their now high bonuses.

Okay, so we are tossing three coins. We want to find out the following probabilities firstly. We want to find the same space. So the simple spaces either had a head or ahead, ahead head and the tail a head, tail, head and then a tail and the head and the head. Oh you can toss three tails or tail or tail in the head or tell a head in the tail or head tail tail. So basically there are eight. There are eight outcomes. Okay then be mm sees find exactly one hand. So one probability or find exactly one hand. So one head, you will find it by looking anyway after the T. T. T. So we have got 123 cases. So that will be three out of the sample space which is eight. Then see uh It must two tails or probability that the tails are less or equal to tomb it most is less or equal to. So two tails or or less. It means what you don't want Our three hands only. Anything else will meet the condition. So we have got seven cases out of possible eight. Uh Then we go to d at least one had probability that we have at least one had means one head or more. So it's greater than 8.1. So one herd means what we only don't want zero head which is T T T. So anything else is fine. So this will be serving over eight And then the last one says Exactly two tails probability but we have exactly two tails. So two tails you get them after defeating. So one 23 cases. There are three cases out of a possible aid. Yeah.

So we want to write down the sample space if we have three coins being tossed and so we can have all three be hades or we can have two heads and one tail. But we can move that tail to a different physician. Yeah and that And then we can have that is three heads. All of these have two heads and we can have one head. Move that head to a different position. Yeah So these all have one head and then we can have no heads. You have three tails. So there's our sample space And part B. We want to find the probability of exactly one had. Now each of these has a probability of 1/8. So the probability of one heads. We have three ways for that to happen. So our answer is three eggs. Part C. We want to know what's the probability that we have at most two heads. So the number of heads is less than or equal to two. And that will be all of these events. Except for this one that has three heads. So that answer is seven X. Part D. We want to find the likelihood that we have at least one had and that will be All of these except for this event. That doesn't have any. So that likewise is 7/8. And then part E. We want to find the probability of having exactly two heads. And those two heads we had three ways for that to happen. So 38. Yeah. Wall. And that all right


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