1. A bag contains 10 black marbles, 8 red marbles, 7 yellow marbles. If one marb
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Question
1. A bag contains 10 black marbles, 8 red marbles, 7 yellow marbles. If one marble is drawn from the bag then replaced, what is the probability of drawing a black marble then a yellow marble? 2. In a number guess game you ask a person to guess a number from 1 to 10. If the person makes a random guess, what is the probability their guess will be less than 4? 3. A bag contains 8 blue marbles, 7 yellow marbles, 10 red marbles. If one marble is drawn from the bag but not replaced, what is the probability of drawing a blue marble then a red marble? 1. A bag contains 10 black marbles, 8 red marbles, 7 yellow marbles. If one marble is drawn from the bag then replaced, what is the probability of drawing a black marble then a yellow marble? 2. In a number guess game you ask a person to guess a number from 1 to 10. If the person makes a random guess, what is the probability their guess will be less than 4? 3. A bag contains 8 blue marbles, 7 yellow marbles, 10 red marbles. If one marble is drawn from the bag but not replaced, what is the probability of drawing a blue marble then a red marble? 1. A bag contains 10 black marbles, 8 red marbles, 7 yellow marbles. If one marble is drawn from the bag then replaced, what is the probability of drawing a black marble then a yellow marble? 2. In a number guess game you ask a person to guess a number from 1 to 10. If the person makes a random guess, what is the probability their guess will be less than 4? 3. A bag contains 8 blue marbles, 7 yellow marbles, 10 red marbles. If one marble is drawn from the bag but not replaced, what is the probability of drawing a blue marble then a red marble?Explanation / Answer
1. Since draw is with replacement, the Total number of marbles = 10 + 8 + 7 = 25 remains the same in each trial.
So,
P(Black in Draw 1) = 10/25 = 0.4
P(Yellow in Draw 2) = 7/25 = 0.28
So,
P(Black in Draw 1 & Yellow in Draw 2) = 0.4 X 0.28 = 0.112
2. Total number of Events = 10
Favorable Events = {1,2,3}
So,
P(less than 3) = 3/10 = 0.3
3.
Draw 1: Blue
Total Marbles = 25
Blue = 8
So,
P(Draw 1: Blue) = 8/25 = 0.32
After drawing 1 Blue:
Draw 2: Red
Total Marbles = 24
Red= 10
So,
P(Draw 2: Red = 10) = 10/24 = 0.4167
So,
P(Draw 1: Blue & Draw 2: Red) = 0.32 X 0.4167 = 0.1333
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