Question

Three coins are tossed simultaneously. Write the sample space and answer the given

questions. (i) Find the probability of getting at least one tail. (ii) Find the probability

of getting at most three heads.​

Answer 1

Answer:

Three coins are tossed simultaneously. Write the sample space and answer the given

questions. (i) Find the probability of getting at least one tail. (ii) Find the probability

of getting at most three heads.

ANS

I)¹

Answer 2

Answer:

In tossing three coins, the sample space is given by

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

(a) Then all possible outcomes are =8

(b) Then number of possible outcomes=8

(c)Then the probability of getting at least one head=  

numberoftotalpossibleoutcomes

numberofpossibleoutcomesofoneheads

​  

=  

8

3

​  

 

(d)Then the probability of getting at least two heads=  

number of total possible outcomes

number of possible outcomeso ftwo heads  =  8 3

​(e)Then the probability of getting no tail=  

number of to talpossible outcomes

number ofpossible outcomesof no tail  =  8 1

​  

Step-by-step explanation: