Answer:
The value is [tex]P( O \ and \ A ) = 0.583[/tex]
Step-by-step explanation:
From the question we are told that
The number of apples is [tex]A = 7[/tex]
The number of oranges is [tex]R = 5[/tex]
Generally the probability that the bowl will be empty after the last apple is taken from the box is mathematically represented as
The probability that 5 oranges and 7 apples are drawn in the 1st 11 draws
So
[tex]P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
[tex]P( O \ and \ A ) = \frac{(1 * 7 )}{12}[/tex]
=> [tex]P( O \ and \ A ) = 0.583[/tex]
