A bag contains two red beads and two green beads. You reach into the bag and pull out a bead, replacing it with a red bead regardl

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A bag contains two red beads and two green beads. You reach into the bag and pull out a bead, replacing it with a red bead regardless of the color you pulled out. What is the probability that all beads in the bag are red after three such replacements

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  1. The probability that all beads in the bag are red after three replacement is 1/8.
    According to the given question.
    Total number of red beads = 2
    Total number of green beads = 2
    Total number of beads in a bag = 4
    Now, the probability of pulling out red bead = 2/4 = 1/2
    the probability of pulling out second bead as red with repalcement
    = 2/4
    = 1/4
    Similarly, the probability of pulling out the third bead with replacement which is also red
    = 2/4
    = 1/2
    Therefore, the probability that all beads in the bag are red after three replacement
    = 1/2 × 1/2 ×1/2
    = 1/8
    Hence, the probability that all beads in the bag are red after three replacement is 1/8.
    Find out more information about probability here:
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