please provide justified solution asap to get a upvote...i need these 4 mcqs urgently..just tell me correct options asap..thanks

Question Help A friend of yours claims that when he tosses a coin he can control the outcome. You are skeptical and want him to prove it. He tosses the coin, and you call heads, but it's tails. You try again and lose again. Complete parts a through d below. a) Do 2 losses in a row convince you that he really can control the toss? Explain. Choose the correct answer below. O A. No, there is very small chance of losing twice in a row. Such an event is not unusual. O B. No, there is a 25% chance of losing twice in a row. Such an event is not unusual. O C. Yes, there is a very small chance of losing twice in a row. Such an event is very unusual. O D. Yes, there is a 25% chance of losing twice in a row. Such an event is very unusual. b) You try a third time, and again you lose. What's the probability of losing 3 tosses in a row if the process is fair? O A. 0.5 O B. 0.125 O C. 0.25 O D. 0.075 c) Would 3 losses in a row convince you that your friend controls the outcome? Explain. Choose the correct answer below. A. Yes, one expects that to happen 1 time in 8. Such an event is not very unusual. O B. No, one expects that to happen 1 time in 8. Such an event is not very unusual. O C. Yes, one expects that to happen 1 time in 16. Such an event is very unusual. O D. No, one expects that to happen 1 time in 16. Such an event is very unusual. d) How many times in a row would you have to lose to be pretty sure that this friend can really control the toss? Justify your answer by calculating a probability and explaining what it means. Choose the answer below which minimizes the number of losses while still providing a convincing result. O A. Losing 6 times in a row might be convincing evidence. The probability of such an event is only 1 in 128, which seems unusual. O B. Losing 5 times in a row might be convincing evidence. The probability of such an event is only 1 in 32, which seems unusual. O C. Losing 10 times in a row might be convincing evidence. The probability of such an event is only 1 in 512, which seems unusual. O D. Losing 2 times in a row might be convincing evidence. The probability of such an event is only 1 in 2, which seems unusual