Ignoring the order means this is a combination problem, not permutation. There are equal number of books in each color, so the results will be the same if we think that blue or green book is the first book. Since we need to choose the second book in green or blue, there are 10 possible books to be chosen out of 15 – 1(that is the red book chosen first) = 14 books. Probability that the 1st ball is red: 4/11Ĭombined probability is 4/11 * 5/10 = 20/110 = 2/11Īssume that the first book chosen is red. The possibility to have a blue ball is 3/7. There is only 1 white ball so, having a white ball is 1/8 possible.

The possibility to have a white ball is 1/7. There are 3 blue balls so, having a blue ball is 3/8 possible. Since the balls are taken consecutively, we should be careful with the total number of balls for each case: So, we will have two possibilities to be summed up. We can first take the blue then the white, or first white, then the blue. It is important that two balls are taken out of the bag one by one. What is the probability that the other child is a girl as well? Sarah has two children and we know that she has a daughter. What is the probability that 1 st two balls drawn from the box randomly will be red?Ĩ. The number of green balls are 3 more than twice the number of blue balls, and blue are 5 less than the twice the red. The probability of drawing a red ball is twice the other colors due to its size. A box contains 30 red, green and blue balls. Decision could not be made from the provided data.ħ. Which statement is more likely to be correct?ĭ. Smith will win if the drawn card form the deck of 52 is either 7 or a diamond, and Simon will win if the drawn card is an even number. If the die is rolled only once, what is the probability of 4 successive heads?Ħ. The dice is rolled and the coin is flipped according to the number the die is rolled. How many different ways can a reader choose 3 books out of 4, ignoring the order of selection?ĥ. What is the probability of choosing two books of different colors?Ĥ. There are 5 blue, 5 green and 5 red books on a shelf. What is the probability that one is red and other is green?ģ. A boy has 4 red, 5 green and 2 yellow balls. If it is aimed to take two balls out of the bag consecutively, what is the probability to have 1 blue and 1 white ball?Ģ. There are 3 blue, 1 white and 4 red identical balls inside a bag. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License.

Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the 24 of the 33 outcomes have B on the second draw. There are 9 + 24 outcomes that have R on the first draw (9 RR and 24 RB). Twenty-four of the 88 possible outcomes are BR. There are 24 + 64 = 88 possible outcomes (24 BR and 64 BB). The sample space has been reduced to those outcomes that already have a blue on the first draw. P( R on 2nd draw GIVEN B on 1st draw) = P( R on 2nd| B on 1st) = 24 88 24 88

Red ball 3 level 19 solution