Exercise 4
1. Three coins are tossed once. Find the probability of getting:
a) 3 heads. b) 2 heads. c) at least 2 heads. d) at most 2 heads. e) no head.
f) 3 tails. g) exactly two tails. h) no tail. i) at most two tails.
2. a) If: \( P(A)=0.35, P(A \cap B)=0.25, P(A \cup B)=0.6 \). Find: \( P(B)= \) ?
b) If: \( P(A)=\frac{3}{5}, P(B)=\frac{1}{5} \). Find: \( \mathrm{P}(\mathrm{A} \) or \( \mathrm{B})= \) ? if \( \mathrm{A} \) and \( \mathrm{B} \) are mutually exclusive events.
3. a) The probability that a student will pass the final examination in both English and Arabic is 0.5 and the probability of passing neither is 0.1 . If the probability of passing the English examination is 0.75 , what is the probability of passing the Arabic examination?