Answer:
Hence experimental probability that all 3 coins show the same result when he tossed it for 50 times and 8 of those are of success is 0.04
Explanation:
Given:
3 coins are tossed at same time
No of trails are 50 and
success for trails are 8.
To Find:
Experimental probability for 3 coins that getting all heads or all tails.
Solution:
Now
When only 3 coins are tossed probability that getting all heads is as follows:
Calculating the sample space of the event
Event is 3 coins are tossed at a time
So Sample space S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
n(S)=8
No of trails getting all heads is 1
So P(getting all heads )=1/8
Same of tail i.e. 1/8
Adding both will be required probability for getting all heads or tails
here or ' operator so Addition
1/8+1/8=2/8
=1/4
1/4 is probability that the all heads or all tails when coins is tossed one time
but here it is about 50 times and probability if successs trails are 8
Hence
Now
Probability of success P=8/50=0.16
Probability of getting all heads and all tails in 50 trails of which 8 are only success
Hence required Probability =Probability of success *Probability of getting all heads or tails
=0.16*(1/4)
=0.16*0.25
=0.04
Hence experimental probability that all 3 coins show the same result when he tossed it for 50 times and 8 of those are of success is 0.04