Question

If $4$ coins are tossed. Two events A and B are defined as
A: No two consecutive heads occur.
B. At least two consecutive heads occur
Find P(A) and P(B)

Answer 1

$S=${HHHH, HHHT.HHTH.HTHH.THHH,

HHTT,TTHH,HTHT,THTH,HTTH,THHT,

TTTH,TTHT,THTT,HTTT,TTTT}

$P\left(A\right)=\frac{8}{16}$

$P\left(B\right)=P(2consec.headsappear)+(3consec.heads)+P\left(Allheads\right)$

$=\frac{8}{16}.$