There are 3 strawberry ice creams, 4 chocolate ice creams, and 7 vanilla ice creams on a tray. barbara

There are 3 strawberry ice creams, 4 chocolate ice creams, and 7 vanilla ice creams on a tray. barbara selects 2 ice creams at random without replacement. what is the probability that she selects 2 chocolate ice creams? independent or dependent?

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  1. 3 strawberry, 4 chocolate, 7 vanilla...total of 14

    probability of 1st pick being chocolate = 4/14 reduces to 2/7
    without replacing
    probability of 2nd pick being chocolate = 3/13

    probability of both = 2/7 * 3/13 = 6/91 <==

  2. There are 14 ice cream all in all. Choosing two out of the 14 ice cream can be determine by the equation,
                                    14C2 = 91
    Then, there are 4 chocolate ice creams. Choosing two out of the 4 ice cream id determined through the equation,
                                     4C2 = 6
    Thus, the probability that she selects 2 chocolate ice cream is equal to 6/91. 

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