numbers are selected at random,one at a time,from the two digit numbers 00,01,02 99 with replacement - Maths - Probability

Question

numbers are selected at random,one at a time,from the two digit
numbers 00,01,02 99 with replacement An Event E occurs if and only
if the product of the two digits of a selected number is 18 If four
numbers are selected find the probability that the event E atleast
occurs 3 times

Lovina Kansal · Accepted Answer

Dear student
Out of the numbers 00,01,02,
,99 those numbers the product of whose digits is 18 are 29,36,63,92
∴P(E)=4100=125PE¯=1-125=2425The probability that in selecting from numbers the event E occurs at least three times
=4C112532425+4C41254=4×24254+1254=97254
Regards

numbers are selected at random,one at a time,from the two digit numbers 00,01,02.....99 with replacement.An Event E occurs if and only if the product of the two digits of a selected number is 18.If four numbers are selected find the probability that the event E atleast occurs 3 times