Answer:
8) (a) total throws = 200
(b)
Experimental probability of throwing an even number (2,4 or 6) = 9/20
Experimental probability of throwing a prime number (2, 3, or 5) = 23/40
Step-by-step explanation:
The question is not well expressed. It should have read the <em>experimental</em> probability is 0.225, because then we can related x to the number of throws. The theoretical probably (again assuming a fair die, not mentioned in the question) is 1/6.
If the experimental probablility is 0.225, then
x / (25+30+x+28+40+32) = 0.225
or
x-0.225x = 0.225(25+30+28+40+32)
0.775x = 0.225(155)
x = 45
(a) Total number of throws = 155+45 = 200
(b)
Experimental probability of throwing an even number (2,4 or 6)
= (30+28+32)/200 = 90/200 = 9/20 (= 45%)
Experimental probability of throwing a prime number (2, 3, or 5)
= (30+45+40)/200
= 115/200
= 23/40
(= 57.5%)
