(a) Solve the simultaneous equations 3y - 2x = 21 ; 4y + 5x = 5. (b) Six identical cards numbered 1 - 6 are placed face down. A card is to be picked at random. A person wins $60.00 if he picks the card numbered 6. If he picks any of the other cards, he loses $10.00 times the number on the card. Calculate the probability of (i) losing ; (ii) losing $20.00 after two picks.
Explanation
(a) Multiply (1) by 4 and (2) by 3 so we have, (3) - (4) : Put x = -3 in (1), . (b)(i) Probability of losing Probability of winning = Probability of losing = . (ii) Losing $20.00 after two picks = picking the card numbered 1 twice. =
