![]() Probability of drawing the 1st red: 12/36 Red balls are 6, blue are 7 and green are 17.Īs the probability of drawing a red ball is twice than the Then number of green balls= 2(2x – 5) + 3 = 4x – 10 + 3Īs there are total 30 balls so the equation becomes So his winning probability in a single game will be 16/52 on the other hand Simon has 20 cards of wining so his probability on win in single draw is 20/52. If we closely observe Smith has 16 cards in which he can win. Also, each flip of coin is independent from the other: The possibility for a number to appear on the top of the die is 1/6. There are two possibilities for a coin heads (H) or tails (T), each possibility of 1/2 we are searching for H. If the die is rolled for once, it can be 4, 5 or 6 since we are searching for 4 successive heads. 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. ![]()
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