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3. can someone please show me how to work out the...

# Question: can someone please show me how to work out the...

###### Question details

Can someone please show me how to work out the probabilities for the following questions in simple maths that is easy to follow:

IVF is a procedure by which egg cells are fertilized by sperm outside the womb. Let us assume that any time the procedure is performed by the probability of success (meaning a live birth) is approximately 20%. Let us also assume, though this is unlikely to be true, that the probabilities of success at separate trials are independent. Imagine, first that a woman has the procedure done twice.

Previous questions asked me to work out the probability of exactly two live births (0.04) and the probability of no live births (0.64)

(c) What is the probability that she will have at least one live birth? I believe the working for this is P(one birth) = 1 - (no birth) = 1-0.64  which equals .36.   (.36 is the correct answer is this the correct working?)

Imagine, next, that another woman has the procedure done five time.

d) What is the probability that she will have at least one live birth? (Textbook answer is approximately 0.67 but not sure how they got that)

Thanks,