a casino has 10 slot mahcines. 8 are wheel of fortune themed, 2 are jeopardy themed. you don’t know whch is which. a wof machine

Question

1 year ago

5

wins 20% of its spins, j winds 30%. say you play a round and are a winner. what is the prob that it is a wof machine?

1 answer:

inn [45] · Answer 1 · 2024-01-10T11:59:43+03:00

The required probability is 4/25.

We want to realize the concept of chance to remedy this question.

First we will find the chance that the system on which I play is a wheel of fortune system.

So, required probability quantity of wheel of fortune machines ÷ total range of machines

= 8/10

= 4/5

Now the probability of wheel of fortune winning is 20%.

So, total probability that if I play and win and that machine is a wheel of fortune machine is= (4/5)×(20/100)

= (4/5)×(1/5)

= 4/25

Hence, the required probability is 4/25.

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