Question

Take three coins of different denomination. Toss these coins simultaneously and there are 8 possible outcomes. Now Find, 1. The probability of getting 3 heads 2. The probability of getting 3 tails 3. The probability of getting one head and two tail while tossing the coin. Now try tossing the coin 16 times and note down the outcomes. Compare the theoretical and experimental probability and justify.​

Answer 1

Given : Take three coins of different denomination. Toss these coins simultaneously and there are 8 possible outcomes

To find :

1. The probability of getting 3 heads

2. The probability of getting 3 tails

3. The probability of getting one head and two tail while tossing the coin.

Solution:

Tossing 3 coins simultaneously

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

n(S) = 8

n(getting 3 heads) = 1

The probability of getting 3 heads  = 1/8

n(getting 3 tails) = 1

The probability of getting 3 tails  = 1/8

n (one head and two tail) =  3

 The probability of getting one head and two tail = 3/8

Tossing 4 coins simultaneously

Total possible outcomes = 16

P(4 heads ) = 1/16

P ( 4 Tails) =  1/16

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