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a jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. a marble is drawn at random from the jar. find the probability of the given event. write your answers as reduced fractions. (a) the marble is red your answer is : (b) the marble is odd-numbered your answer is : (c) the marble is red or odd-numbered your answer is : (d) the marble is blue and even-numbered your answer is :

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ayune

A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. If a marble is randomly drawn, the probability it will be red is 3/8, it will be red or odd number is 11/16, and it will be blue and even number is 5/32.

Probability measures how likely an event occurs compared to the total possible outcomes. Mathematically, the probability of an event A is defined as:

P(A) = number of ways event A can occur / total possible outcomes

Data from the problem:

Red marble : 6 , numbered 1 - 6

Blue marble : 10 , numbered 1 - 10

Hence,

Total marble = 6 + 10 = 16

a) P(red) =  6 / 16 = 3/8

b) Possible odd numbers:

   Red marble: 1, 3, 5

   Blue marble: 1, 3, 5, 7, 9

   Hence,

    P(odd) = 8/16 = 1/2

c) P(odd or red) = P(odd) + P(red)

                          = 8/16 + 3/16 = 11/16

d) P(blue) = 10/16

   P(even) = 1 - P(odd) = 1 - 1/2 = 1/2

   Hence,

   P(blue and even) = P(blue) x P(even)

                                = 10/16 x 1/2 = 5/16

Learn more about probability here:

https://brainly.com/question/2239055

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