180k views
5 votes
Vince tossed 3 coins at the same time. He did this 50 times and 8 of those times, all 3 coins showed the same result (all heads or all tails). What is the experimental probability that all 3 coins show the same result when tossed? Write your answer as a decimal.

1 Answer

2 votes

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

User Rushikesh Talokar
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories