Answer: C.
Step-by-step explanation: If I am wong I am sorry !
Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to [tex]\frac{1}{2}[/tex].
" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Conditional probability ' P(B/A)' = P(A∩B) / P(A)
According to the question,
Total number of tiles = 15
Number of while tiles represented by 'A' = 3
Number of purple tiles represented by 'B' = 7
Number of black tiles= 5
Total number of outcomes = 15 × 14
= 210
Favourable outcome for A = 3 × 14
= 42
Favourable outcomes for A∩B = 3 × 7
= 21
Probability of A
'P(A)' = [tex]\frac{42}{210}[/tex]
Probability of A∩B
'P(A∩B)' = [tex]\frac{21}{210}[/tex]
Substitute the value in the conditional probability we get,
Probability for P(B/A) = [tex]\frac{\frac{21}{210}}{\frac{42}{210} }[/tex]
= [tex]\frac{1}{2}[/tex]
Hence, Option(D) is the correct answer.
Learn more about probability here
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