Three coins are tossed once. Find the probability of getting
(i) 3 heads
(ii) 2 heads
(iii) atleast 2 heads
(iv) atmost 2 heads
(v) no head
(vi) 3 tails
(vii) exactly two tails
(viii) no tail
(ix) atmost two tails

Answer

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Video Transcript

mhm. So the question is saying there are three coins which are tossed ones and we have to find the priority of different cases. Right? So the priority is actually the total number of favorable cases. Upon total number of cases. Or we can say total number of favorable outcomes upon total outcomes when we're tossing three coins. The total number of outcomes are eight. That is either all tales T T had T corresponds to tail and head is corresponding to each like T T H T H T H T T T H H H. D H H H. T. And HHS. So these are the total number of cases are it Now let's start doing one by one. First three heads three Herdsmen. How many cases are there when three heads remain only one cases there. So the probability for the first part is one by that is one favorable and total number about concert it. Let's do the second part. Second is two heads. How many cases are there were two heads are coming 12 three. So how many favorite cases? three And total number of auto answer 8. 3rd part. At least two words at least two herds means either two or three maximum. We can have only three years to how many, how many kids are there were at least two words are coming one boo, three and four. So the total outcomes are favorable, outcomes are four and total um outcome size. So it is one by two. Now Let's do 4th. Yes at most. Two heads at most. Two heads means either two or one or no head. So the total markets are 1234567 How many kids are there? Seven And total cases are eight. No 5th 1 is no head. No head means all the outcome should be tails. So they are only one case is one case. So that is one by it. Now. Let's do 63 tails. Three tails. Only one case. That is T T t only one case. They're so favorable is one and total is it? No next is Exactly two tails. How many kids are they were exactly two tails are coming one, two and three. Only three kids are there so three favorable upon total number of cancer. No tail. Which case has no tales? Only one case. That is when all the outcomes are had only one favorable and total is eight. No final at most. Two tails at most means Either two or 1 or zero tails. How many kids are there? One, 1, 2, 3, 45, 6, seven. How many cases? Seven favourable upon total. Mhm. Cases are eight. So the final answer is seven by a doctor. nine part right. Thank you so much.

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