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The Venn diagram shows the number of students studying Mathematics (M) and the number of students studying Physics (P) in a college.

35 students do not study either subject.

a) The total number of students is 121.

Find the value of

Find the value of

*x*.b) One of the 121 students is selected at random.

Find the probability that this student studies Mathematics, given that they study Physics.

**Question**

14) The Venn diagram shows the number of students studying Mathematics (M) and the number of students studying Physics (P) in a college.

35 students do not study either subject.

35 students do not study either subject.

a) The total number of students is 121.

Find the value of

Find the value of

*x*.**[1 mark]**

b) One of the 121 students is selected at random.

Find the probability that this student studies Mathematics, given that they study Physics.

**[2 marks]**