Respuesta :
P(Chocolate) for first draw = 2/5
P(Chocolate) for second draw = 1/4
Prob. of choosing two chocolate candies = 2/5 * 1/4 = 1/10
Probability of choosing two chocolates candies without replacement is equals to (1/ 10).
What is probability?
" Probability is defined as the mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes for a given event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Total number of candies = 5
Number of chocolates = 2
As per the condition of without replacement we have,
Probability of drawing a first chocolate = 2 / 5 ___( 1 )
Probability of second chocolate without replacing first one = 1/ 4 __( 2)
From ( 1 ) and (2) we get,
Probability of choosing 2 chocolates candies without replacement
= [tex]\frac{2}{5}[/tex] × [tex]\frac{1}{4}[/tex]
= (1 / 10)
Hence, probability of choosing two chocolates candies without replacement is equals to (1/ 10).
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