Let's say a keep tossing a fair coin, until he get 2 consecutive heads, define x to be the number of tosses for this process; b keep tossing another fair coin, until he get 3 consecutive heads, define y to be the number of the tosses for this process. 1) calculate p{x> y}

A=Tossing a  fair coin, until getting  2 consecutive heads,

Minimum Number of tosses

 =(SF)(FS)(FF)(SS)

X =8 tosses

S=Success

F=Failure

B=Tossing a  fair coin, until getting 3 consecutive heads.

Minimum Number of tosses

 =(SFS)(FSS)(SSF)(SFF)(FSF)(FFS)(FFF)(SSS)

Y =24 Tosses

Probability of an event

1.5%

step-by-step explanation: