2.5 Probability theory 01)• There are 12 balls in the box, 4 are red, remaining are blue. At random two balls are taken from the box. What are the probability of the event that one ball is red and...

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Extracted text: 2.5 Probability theory 01)• There are 12 balls in the box, 4 are red, remaining are blue. At random two balls are taken from the box. What are the probability of the event that one ball is red and another is blue. Q2) 3 dice are thrown (the dice is a eube with six faces, on which the numbers from 1 to 6 are written). Find the probability that all the dices were rolled with six (nll faces are equally probable), under the condition that two dice rolls are sixes. Q3) • Bob thinks about buying a ticket for a sport mntch. With the proba- bility of 0.3 he buys a ticket for a football match, with the probability 0.4 - a basketball, and with the probability 0.2 - volleyball. With whnt probability Bob buys ticker for a volleyball or a basketball match? A social network nser checks the profile of one of their 7 friends every day (with the same probability for cach of their friends). Let w be the mumber of the weok during which they will view the profile of all seven of their friends (all for this one week). Find the probability that n = 3 under the condition w is the odd mumber. Q4) CS Scanned with CamScanner