Question

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.

Answer 1

Answer:

Step-by-step explanation:

I think you're making an incorrect assumption here. X and Y are two events based on two separate, independent series of coin tosses, from coins A and B, respectively. Here's an example:

Coin one:

T-T-T-T-H-H

Coin two:

H-H-H-T-T-T

Event X (two heads in a row from coin A) occurred after event Y (three heads in a row from coin B). In the language of the question, X=6 and Y = 3. Since X>Y is a possible event in the space, P{X>Y} must be greater than zero.

answer:

The problem can be broken down by the outcome of the first toss of the two coins.

Bearing arithmetic typos, the answer should be 43/58.

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