**similar to**. However, instead of cards equal to a certain value: pure integers are used.

*Black Jack*The participant starts the game by rolling 1-100

**as much as wanted**. After

**adding each roll**together, if the total passes 100 the participant loses, but if the number adds up to exactly 100, the participant wins.

If the

**participant hasn't lost**, the host will roll until their total is

**greater**than the participant's. If the host

**passes**100, the participant wins, otherwise the Host wins.

In this game if the participant only continues to roll when their total is less than 58,

**the odds of the participant winning each game**is nearly

**43%**.

I simply want to know:

**How can you calculate the exact odds of winning each next game?**

Example:Let's say

Example:

**H**=Host wins, and

**P**=Participant wins.

__Order of winners:__

**PHPHHP**What are the odds of

**P**articipant winning after the following has been displayed, and how could the odds continue to be calculated?