A bag contains 3 white and 5 black balls. Bob draws two balls one after another from the bag, without replacement. What is the probability that any one ball is white and the other is black? Select the correct option. Select one: a. 15/56 b. 25/56 c. 45/56 d. 15/28

Respuesta :

Answer:

[tex]\frac{15}{28}[/tex]

Step-by-step explanation:

Given that a bag contains 3 white and 5 black balls. Bob draws two balls one after another from the bag, without replacement.

Drawing one ball white and one black can be done in

[tex]3C1 *5C1\\= 15[/tex]

Total no of ways of drawing any two balls without replacement

= [tex]8C2\\[/tex]

= 28

the probability that any one ball is white and the other is black

= favourable outcomes/total outcomes

= [tex]\frac{15}{28}[/tex]

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