Question

Если анатолий карпов играет белыми, то он выигрывает у Гарри Каспарова с вероятностью 0,55. Если Анатолий Карпов играет черными, то Карпов выигрывает у Каспарова с вероятностью 0,6. Они играют две партии, при чем во второй партии меняют цвет фигур. Найдите вероятность, что Анатолий Карпов выиграет оба раза?

Answer 1

Вероятность выиграть при каждой из масти равна 0,55  и 0,6. Раз цвет фигур меняется, значит, всё равно, в каком порядке будут распределяться цвета. 
0,55*0,6=0,33

Answer 2

Probability of Anatoly Karpov winning both games

To find the probability of Anatoly Karpov winning both games, we need to consider the probabilities of him winning when playing as white and when playing as black, and then multiply these probabilities together.

According to the given information, if Anatoly Karpov plays as white, he has a 0.55 probability of winning against Garry Kasparov On the other hand, if he plays as black, he has a 0.6 probability of winning against Kasparov.

To calculate the probability of winning both games, we multiply the probabilities together:

Probability of winning both games = Probability of winning as white * Probability of winning as black

Probability of winning both games = 0.55 * 0.6 = 0.33

Therefore, the probability of Anatoly Karpov winning both games against Garry Kasparov is 0.33 or 33%.