Mathematics question number 8
please solve in details​

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 experimental 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%)