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.

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

Step-by-step 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

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step-by-step explanation: