(i) A financial institution in a certain town has three branches A, B and C. On the average the branches receive 100, 150 and 120 customers respectively per day. The probability that a customer will carry out a transaction of more than one million CFA francs at A, B and C are 0.2,0.6 and 0.4 respectively. A customer is chosen at random, find the probability that (a) the customer will carry out a banking transaction of more than one million CFA francs (b) the customer carried out a transaction less than one million CFA francs given that he went to the second branch. (c) the customer went to C' given that he carried out a transaction of more than one million CFA francs i) An experiment consists of drawing four cards at random from a nack of 17

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Answer detailly 8(i)

(i) A financial institution in a certain town has three branches A, B and C. On the average the branches receive
100, 150 and 120 customers respectively per day.
The probability that a customer will carry out a transaction of more than one million CFA francs at A, B and
C are 0.2,0.6 and 0.4 respectively.
A customer is chosen at random, find the probability that
(a) the customer will carry out a banking transaction of more than one million CFA francs
(b) the customer carried out a transaction less than one million CFA francs given that he went to the second
branch.
(c) the customer went to C' given that he carried out a transaction of more than one million CFA francs
8.
(ii) An experiment consists of drawing four cards at random from a pack of 52 playng cards, one at a time with
replacement .
Find the probability that:
(d) no diamond is drawn,
(e) exactly two diamonds are drawn and the other two cards of different suits,
(f) one card of each suit is drawvn.
Transcribed Image Text:(i) A financial institution in a certain town has three branches A, B and C. On the average the branches receive 100, 150 and 120 customers respectively per day. The probability that a customer will carry out a transaction of more than one million CFA francs at A, B and C are 0.2,0.6 and 0.4 respectively. A customer is chosen at random, find the probability that (a) the customer will carry out a banking transaction of more than one million CFA francs (b) the customer carried out a transaction less than one million CFA francs given that he went to the second branch. (c) the customer went to C' given that he carried out a transaction of more than one million CFA francs 8. (ii) An experiment consists of drawing four cards at random from a pack of 52 playng cards, one at a time with replacement . Find the probability that: (d) no diamond is drawn, (e) exactly two diamonds are drawn and the other two cards of different suits, (f) one card of each suit is drawvn.
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