keras/src/random/random.py/binomial
def binomial(shape, counts, probabilities, dtype=None, seed=None):
    """Draw samples from a Binomial distribution.

    The values are drawn from a Binomial distribution with
    specified trial count and probability of success.

    Args:
        shape: The shape of the random values to generate.
        counts: A number or array of numbers representing the
            number of trials. It must be broadcastable with `probabilities`.
        probabilities: A float or array of floats representing the
            probability of success of an individual event.
            It must be broadcastable with `counts`.
        dtype: Optional dtype of the tensor. Only floating point types are
            supported. If not specified, `keras.config.floatx()` is used,
            which defaults to `float32` unless you configured it otherwise (via
            `keras.config.set_floatx(float_dtype)`).
        seed: A Python integer or instance of
            `keras.random.SeedGenerator`.
            Used to make the behavior of the initializer
            deterministic. Note that an initializer seeded with an integer
            or None (unseeded) will produce the same random values
            across multiple calls. To get different random values
            across multiple calls, use as seed an instance
            of `keras.random.SeedGenerator`.
    """
    return backend.random.binomial(
        shape,
        counts=counts,
        probabilities=probabilities,
        dtype=dtype,
        seed=seed,
    )