If a couple plans to have 6 children, what is the probability that there will be at least one girl? assume boys and girls are equally likely. is that probability high enough for the couple to be very confident that they will get at least one girl in 6 children?

The correct answer would be, Yes the couple can be confident because the probability is close to 1.

Explanation:

According to the question, we are assuming that getting a boy or a girl is equally likely.

Hence;

P(getting a girl) =  1/ 2

and

P(getting a boy) =  1/ 2  in one birth.

Given the total number of children they plan to have  =  6

P(there will be at least one girl) = 1 -  P (there will be no girl)

= 1 -  P (all of them are boys)

=  1  − ( 1 /2 ) 6

= 0.984375

Correct Yes because the probability is close to 1.

the earth’s crust is broken into separate pieces called tectonic plates (fig. 7.14). recall that the crust is the solid, rocky, outer shell of the planet. it is composed of two distinctly different types of material: the less-dense continental crust and the more-dense oceanic crust. both types of crust rest atop solid, upper mantle material. the upper mantle, in turn, floats on a denser layer of lower mantle that is much like thick molten tar.

each tectonic plate is free-floating and can move independently. earthquakes and volcanoes are the direct result of the movement of tectonic plates at fault lines. the term fault is used to describe the boundary between tectonic plates. most of the earthquakes and volcanoes around the pacific ocean basin—a pattern known as the “ring of fire”—are due to the movement of tectonic plates in this region. other observable results of short-term plate movement include the gradual widening of the great rift lakes in eastern africa and the rising of the himalayan mountain range. the motion of plates can be described in four general patterns:

collision: when two continental plates are shoved together

subduction: when one plate plunges beneath another (fig. 7.15)

spreading: when two plates are pushed apart (fig. 7.15)

transform faulting: when two plates slide past each other (fig. 7.15)