[填空题]
A jar of candy contains 14 sweet iwwr o;5j),ce pieces and 8 sour pieces. Sarah selecv* 5 ism;-szxsr+hvx+vj3)vpts one piece at rand)hsv*p-xxv rvs3v5i+; + jz smom and eats it. This piece Sarah selected was sweet. The tree diagram below represents the outcomes for Sarah, given this first selection.
1. Determine the values of:
1. a $\frac{a}{b}$ a = b =
2. b $\frac{a}{b}$ a = b =
3. c $\frac{a}{b}$ a = b =
2. Determine the probabilities of:
1. Sarah selecting two sweet pieces of candy in a row. ≈
2. Sarah selecting two different types of candy.
A second jar of candy contains only sweet pieces, 15 of which are yellow and 11 are blue. Charlotte selects two pieces of candy from this new jar at random, without replacement. Determine the probabilities of: ≈
3. 1. Both pieces being blue. ≈
2. Both pieces being the same colour. ≈
3. The second piece being yellow, given the first piece was blue.
4. If Charlotte didn't like the yellow flavour and kept selecting (and removing) pieces at random until she selected the one blue piece she wanted, calculate the probability of 5 pieces being selected in total. ≈