Question

When 3 coins are tossed randomly 250 times and it is found that three heads appeared 70 times, two heads appeared 55 times, one head appeared 75 times and no head appeared 50 times.

If three coins are tossed simultaneously at random, find the probability of:
i) getting three heads
ii) getting two heads
iii) getting one head
iv) getting no head

Answer 1

The probabilities are: i) 0.28, ii) 0.22, iii) 0.3, iv) 0.2

Step-by-step explanation:

To find the probability of getting a certain number of heads when tossing three coins simultaneously, we can use the information given in the question. We are given that when the coins were tossed randomly 250 times, the following results were obtained: three heads appeared 70 times, two heads appeared 55 times, one head appeared 75 times, and no head appeared 50 times.

i) To find the probability of getting three heads, we divide the number of times three heads appeared (70) by the total number of tosses (250), which gives a probability of 70/250 = 0.28

ii) To find the probability of getting two heads, we divide the number of times two heads appeared (55) by the total number of tosses (250), which gives a probability of 55/250 = 0.22

iii) To find the probability of getting one head, we divide the number of times one head appeared (75) by the total number of tosses (250), which gives a probability of 75/250 = 0.3

iv) To find the probability of getting no head, we divide the number of times no head appeared (50) by the total number of tosses (250), which gives a probability of 50/250 = 0.2