Consider rolling a fair die twice and tossing a fair coin eleven times. assume that all the tosses and rolls are independent. the chance that the total number of heads in all the coin tosses equals 10 is (q3)

0.005371

Step-by-step explanation:

Given that a fair coin is tossed 11 times.

Since coin is fair probability for head p = 0.5 and q = prob for tail =0.5

Each trial is independent of the other. Hence X no of heads is binomial with

Prob for getting 10 heads out of 11 tosses

=P(X=10)

=

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.