An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer? Write your answer as a fraction in simplest form.

fair coin is tossed three times in succession. The set of equally likely outcomes is \( \{\mathrm{HHH}, \mathrm{HHT}, \mathrm{HTH}, \mathrm{THH}, \mathrm{HTT}, \mathrm{THT}, \mathrm{TH}, \mathrm{TTT}\} \). Find the probability of getting exactly e head.

If you toss a fair coin 4 times, what is the probability of getting all tails? \( \mathrm{P}(4 \) tails in a row \( )=\square \) (Type a fraction. Simplify your answer.)

18. Two bags A and B contain identical balls except for the colours. Bag A contains 4 red balls and 2 yellow balls. Bag B contains 2 red balls and 3 yellow balls. (a) If a ball is drawn at random from each bag, find the probability that both balls are of the same colour. (b) If two balls are drawn at random from each bag, one ball at a time without replacement, find the probability that (i) the two balls drawn from bag A or bag B are red, (iii) all the four balls drawn are red

19. A student at a certain college has \( 60 \% \) chance of passing an examination at the first attempt. Each time a student fails and repeats the examination; his chances of passing are increased by \( 15 \% \). Calculate the probability that a student in the college passes an examination at the second or at the third attempt. [3008 marks)

The reading speed of second grade students in a large city is approximately normal, with a mean of 88 words per minute (wpm) and a standard deviation of 10 wpm. Cor (a) What is the probability a randomly selected student in the city will read more than 94 words per minute? The probability is (Round to four decimal places as needed.)