probability

[autumn rampart]

Let x be the probability that Ben passes the test

Then 1-x is the probability he fails

The probability of one man passing is 0.4-0.4x+0.6x=0.56

0.2x=0.16

x=0.8

1-x=0.2

So the probability they both fail is 0.2*0.6=0.12

[wild merlin]

where did all these numbers come from

@autumn rampart

<@&791435371564892232>

[autumn rampart]

Basically if only one person passes then the other must fail

So to find this u have to add the probability of Tom passing and Ben failing to the probability of Ben passing and Tom failing

[wild merlin]

0.4 is the probability of tom passing

what about 0.4x and 0.6x

whdre did they come from

? @autumn rampart

[autumn rampart]

^

So to find the probability of Tom passing and Ben failing we multiply so we get 0.4 * (1-x)=0.4-0.4x

Then to find the probability of Ben passing and Tom failing we do x*0.6=0.6x

Then we add these to together which the q tells us is equal to 0.56

And then we solve for x

But the q wants us to find the prob they both fail which is 0.6*(1-x)

[wild merlin]

ok thanks