Probability problem

[Questionable]

Ok so here goes.

I have a 4.26% chance to win weekly Raffle A
I have a 4.23% chance to win weekly Raffle B
I can enter each raffle only once per week

If I win both Raffle A and Raffle B I will win the Raffle Bonanza

I don't need to win both Raffle A and Raffle B in the same week to win the Raffle Bonanza, once I have won either raffle that win is "stored"

I must win both Raffle A and Raffle B to win the Raffle Bonanza, consecutive wins of the same raffle do nothing.

What is the probability that I win the Raffle Bonanza after 50 weeks of attempts?

How many weeks of attempts would it take for me to have a 90% chance to suceed?

How many for a 99% chance?

Please show your working.
Thank you.

 

[Deleted member 4993]

Ok so here goes.

I have a 4.26% chance to win weekly Raffle A
I have a 4.23% chance to win weekly Raffle B
I can enter each raffle only once per week

If I win both Raffle A and Raffle B I will win the Raffle Bonanza

I don't need to win both Raffle A and Raffle B in the same week to win the Raffle Bonanza, once I have won either raffle that win is "stored"

I must win both Raffle A and Raffle B to win the Raffle Bonanza, consecutive wins of the same raffle do nothing.

What is the probability that I win the Raffle Bonanza after 50 weeks of attempts?

How many weeks of attempts would it take for me to have a 90% chance to suceed?

How many for a 99% chance?

Please show your working.
Thank you.

Please show us what you have tried and exactly where you are stuck.

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