Question

If there are 20 single-colored balls, 6 red, 5 green and 9 yellow. Pick the balls one by one and record the color without replacing them back.

1) find the conditional probability that the 7th ball will be yellow, given that we have 2 reds, 2 greens and 2 yellows in the first six draws.

2) calculate the probability that the 10th draw is yellow

Answer 1

20 R- Red 4 Yellow Date Careen If there 20 single coloured balls. 6 Red s green 9 yellone probability that 2 red, 2 2 yellow balls selected Calculated P(2R) P (zon) P (24) x 5 x 5 16 15 2 + The probability that 9th balls yellow given that we have 2 reds 2 green & 2 yellow balls ig calculated bale P ( 2 RI.P (2G). P(24) np (7th yellow 6 ts x S x 4 x 9 x 8 x 2. Is The Conditional probability that the 7th b all will be yellow given that we have 2 red, 2 greens an 2 Yetton the six drang is ハッ I 1 1

Not Yellow all ureen and Red Date p( 7th ball is yellow/28 2424) p (7th ball is Yellom n2u2824) PP ( za 2 R 24) 1 2 From 2) draw is Yellow The probabillty that the lote Yellow is a Plath balls b efore 10th draw Not yellom ) x 1x6 11 15 5 X 3 X9 IS 12 20 19 X11 X 2 X 1X Y 11 2 6 7 92