The events are independent events.
For Science
The probability of getting an answer correct in the test is 0.5.
Since there are 7 questions, the probability of getting all the questions correctly will be:
[tex]\Rightarrow0.5^7=0.008[/tex]
For English
The probability of getting an answer correctly is 0.25.
Since there are 3 questions, the probability will be:
[tex]\Rightarrow0.25^3=0.016[/tex]
Since the probability is less for Science, he is likelier to do worse by guessing in Science.
Therefore, OPTION C is correct.