[填空题]
A group of 150 students are asked which beveragze1 6yvyj9rtjbac ,zb4y10 cee7:q* me ths 3 2ds0*gh +lxuur,grey prefer from a choice of coffee, tea and ju3gx s s0rhdur,*g2l+ uice. The results are shown below.
4 like only tea
2 like only juice
1 like none of these beverages
35 like coffee and juice
x like tea and coffee
30 like all three beverages
The number of students that like coffee and juice only is half the number who like coffee only.
1. Include all information provided so far on the Venn Diagram above.
2. The number of students that like tea and coffee only is equal to the number of students that like tea and juice only. Find the value of x .
3. Find the number of students who like
1. tea and juice;
2. tea or juice.
4. A student is randomly chosen from the 150 students. Calculate the probability that this student likes
1. all three beverages;
2. only two beverages; ≈
3. juice, given that she likes coffee. ≈
5. Two students are randomly chosen from the 150 students. Calculate the probability that these two students like all three beverages. ≈