Agiven binomial experiment has n=100 trials and p=1/3. is it more likely to get x=20 successes or x=45 successes. why?

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

Step-by-step explanation:

Given information: n=100 and p=1/3.

According to the binomial distribution, the probability of getting r success in n trials is

where, n is total trials, p is probability of success and q is probability of failure.

Total trials, n = 100

Probability of success, p =

Probability of failure, q =

The probability of 20 successes is

The probability of 45 successes is

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2