Question

difference between at least one head and at most one head in probability?

Answer 1

At most one head means number of heads can be 0 or 1.

At least one head means number of heads can be 1 or more than one i.e. it can be 1 or 2 or 3 or 50 or 100... Anything equal to or more than 1.

At most x means less than or equal to x.

at least x means equal to or more than x.

Answer 2

At least one head means the number of head is greater than or equal to 1.

At most one head mean the number of head is less than or equal to 1.

Step-by-step explanation:

In tossing a coil, the result will be either a head or a tail.

So, the sample space would be {H,T}

Similarly, tossing two coin would result the followings,

{HH,HT,TT,TH}

Now, at least one head means the number of head is greater than or equal to 1.

For example,  1 head, 2 head, 3 head and so on.

Similarly, at most one head mean the number of head is less than or equal to 1.

For example, 0 head or 1 head.

#Learn More:

3 coins are tossed together . find the probability of getting : 2 heads. at least 2 heads. at most 2 heads. at most 1 tail. at least 1 tail. 3 heads.

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Determine P(E|F)

A coin is tossed three times, where

(i) E : head on third toss , F : heads on first two tosses

(ii) E : at least two heads , F : at most two heads

(iii) E : at most two tails , F : at least one tail

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