Question

A dice is thrown 1000 times, out of 1000 times it landed 550 times on the region (R1),250 times on the region (R2),25 times on the region R3, and 175 times on the region (R4), where regions are shown below in the form of a grid.

R1	R2
R3	R4

Based on above data, which of the following statements are true in the next throw of the dice?

• A. Experimental probability that it will land on region R1 or R4 is '0.725'
• B. Experimental probability that it will land on region R3 is'0.025'
• C. Experimental probability that it will land on any of the regions (R1,R2,R3,R4) is'1'
• D. Experimental probability that it will land on the region R3 or R4 is '0.20'

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Experimental probability that it will land on region R1 or R4 is '0.725'
B Experimental probability that it will land on region R3 is'0.025'
C Experimental probability that it will land on any of the regions (R1,R2,R3,R4) is'1'
D Experimental probability that it will land on the region R3 or R4 is '0.20'

No. of times it landed on the region R1 or R4 is (550+175) = 725
No. of times it landed on the region R3 is = 25
No. of times it landed on the region (R1,R2,R3,R4) is (550+250+25+175) = 1000
No. of times it landed on the region R3 or R4 is (25+175) = 200
Probability can be calculated using experimental probability formula.
Total no. of trials = 1000
P(R1 or R4)= $\frac{725}{1000}$ = 0.725
P(R3 or R4) = $\frac{200}{1000}$ = 0.20
P(R1,R2,R3,R4) = $\frac{1000}{1000}$ = 1
P(R3) = $\frac{25}{1000}$ = 0.025