Question

Two coins are tossed.
T
If Y represents the number of tails, what is P(Y = 1)?
A 1
4
B 1
3
C1
2
D 3
4
Four coins are tossed.
ICY ante the number of heads, what is P(X = 2)?​

Answer 1

Answer:

two tail or one head one tail or two head

Answer 2

Answer: A. 1/4

Solution:

let, T represent the tail and H represent the head.

S be the sample space

when two coins tossed the sample space will be

S = { HH, HT, TH ,TT}

so, n(S) = 4  

If Y represents the number of tails

then, P( Y = 1) = 1/4

when four coins are tossed the sample space will be

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

n(S) = 16

If X represents the number of heads

P(X = 2) = 6/16 = 3/8