There are five candies in a bag. Three are chewy, and two are chocolate. You draw a candy, do not replace it, and then draw another. What is the probability of choosing two chocolate candies?

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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