Given a coin is tossed four times
∴∴ Possible outcomes =2*2*2*2=1624=16
∴∴ Sample space can be written as
Sample space =HHHH, Amount =1+1+1+1=4
Sample space =HHHT, Amount =1+1+1-1.50=3-1.50=1.50
Sample space =HHTH, Amount =1+1-1.50+1=1.50
Sample space =HHTT, Amount =1+1-1.50-1.50=-1.00
Sample space =HTHH, Amount =1-1.50+1+1=1.50
Sample space =HTHT, Amount =1-1.50+1-1.50=-1.00
Sample space =HTTH, Amount =1-1.50-1.50+1=-1.00
Sample space =HTTT, Amount =1-1.50-1.50-1.50=-3.50
Sample space =THHH, Amount =-1.50+1+1+1=1.50
Sample space =THHT, Amount =-1.50+1+1-1.50=-1.00
Sample space =THTH, Amount =-1.50+1-1.50+1=-1.00
Sample space =THTT, Amount =-1.50+1-1.50-1.50=-3.50
Sample space =TTHH, Amount =-1.50-1.50+1+1=-1.00
Sample space =TTHT, Amount =-1.50-1.50+1-1.50=-3.50
Sample space =TTTH, Amount =-1.50-1.50-1.50+1=-3.50
Sample space =TTTT, Amount =-1.50-1.50-1.50-1.50=-6
Therefore from the samples we get 5 type of different amounts.
4,1.50,−1.00,−3.50,−6.004,1.50,−1.00,−3.50,−6.00
4 has occurred 1 time
1.50 has occurred 4 times
-1.00 has occurred 6 times
-3.50 has occurred 4 times
-6.00 has occurred 1 time
⇒⇒ P(winning of Rs.4.00)=Number of favorable outcomesTotal number of outcomesNumber of favorable outcomesTotal number of outcomes
⇒116⇒116
⇒⇒P(winning of Rs1.50)=4/16=1/4
416=14
⇒⇒P(winning of Rs-1.00)=6/16=3/8616=38
⇒⇒P(winning of Rs-3.50)=4/16=1/4
416=14
⇒⇒P(winning of Rs-6.00)=1/16