There are 50 roses in a tray. The probability of white roses is there is 0.022.
We have given that,
There are 50 roses in a tray.
There is at least 1 red rose among any 24 randomly selected roses,
and there is 1 white rose among any 28
randomly selected roses.
So the probability of a red rose is 1/24
The Probability of a white rose is 1/28.
The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes.
TOTAL roses= 50
[tex]P(A)=(1/24)[/tex]
[tex]P(B)=1/28=0.035[/tex]
[tex]P(AUB)=1/50[/tex]
[tex]P(A$\cap$ B)=1/24+1/28-1/50[/tex]
[tex]175+150-84/4200[/tex]
[tex]241/4200=0.057[/tex]
So Probability of white is
[tex]P(W)=0.057-0.035[/tex]
[tex]P(W)=0.022[/tex]
Therefore, The probability of white roses is there is 0.022.
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