A student has a penny, nickel, dime, and a quarter. She flips them all simultaneously and checks for heads or tails. What is the probability that all four coins will come up heads

Using the binomial distribution, it is found that there is a 0.0625 = 6.25% probability that all four coins will come up heads.

For each coin, there are only two possible outcomes, either it is heads, or tails. The outcome of each coin is independent of other coins, hence, the binomial distribution is used to solve this question.

The formula is:

The parameters are:

In this problem:

The probability that all four coins will come up heads is P(X = 4), hence:

0.0625 = 6.25% probability that all four coins will come up heads.

You can learn more about the binomial distribution at link

1/ 16

Step-by-step explanation:

Flipping a coin = HT ( 2 possibilities)

Hence, total possibility (n) of flipping 4 coins

n = 2^4 = 2 * 2 * 2 * 2 = 16 possible outcomes

(, THHH, HHHT, THHT, HHTH, THTH, HHTT, THTT, HTHH, TTHH, HTHT, TTHT, HTTH TTTH, HTTT,

Probability (A) = required outcomes of A / total possible outcomes

Hence, probability that all coins comes up head :

Number of required outcome = 1

Total possible outcomes = 16

Hence,

P(all heads) = 1/16

the answer is 13/48

step-by-step explanation: