Question

write sample space and n(s) if four coins are tossed.​

Answer 1

Answer:

#Trick to find the number of terms in a sample space.

Whenever there any 'x' number of coins tossed, then the number of sample space is calculated as: 2ˣ

According to our question, 4 coins are tossed. Hence Number of terms in Sample Space would be 2⁴ = 16 terms

Hence n(s) = 16

#Sample Space: We can write them by combining 3 terms with 1.

That is,

{ 1,2,3 } can be combined with { 4,5 } as : { 1234. 1235 }

Similarly

Sample Space 1 = { HHH, HTH, HHT, THH, TTT, THT, HTT, TTH }

Now we combine with H and T to all the terms individually. Hence we get,

{ HHHH, HTHH, HHTH, THHH, TTTH, THTH, HTTH, TTHH, HHHT, HTHT, HHTT, THHT, TTTT, THTT, HTTT, TTHT }

This is the required sample space.

Answer 2

When x coins are tossed, then Total number of outcomes = ${x^2}$

Now,

Four coins are tossed ,

Then Number of outcomes

= ${4^2}$ = ${16}$

Therefore n(s) = 16

Now, to find sample space, the trick is attached in the photo.

Now join both , u could get your desired sample space.